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Conformal field theories and tensor categories : proceedings of a workshop held at Beijing International Center for Mathematical Research / / Chengming Bai [and five others], editors
| Conformal field theories and tensor categories : proceedings of a workshop held at Beijing International Center for Mathematical Research / / Chengming Bai [and five others], editors |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Heidelberg, Germany : , : Springer, , 2014 |
| Descrizione fisica | 1 online resource (ix, 279 pages) : illustrations (some color) |
| Disciplina | 285 |
| Collana | Mathematical Lectures from Peking University |
| Soggetto topico |
Calculus of tensors
Quantum groups Conformal geometry |
| ISBN | 3-642-39383-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | From Hopf algebras to tensor categories -- Pattern-of-zeros approach to Fractional quantum Hall states and a classification of symmetric polynomial of infinite variables -- Virasoro central changes for Nichols algebras -- Logarithmic bulk and boundary conformal field theory and the full centre construction -- Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules -- C2-cofinite w-algebras and their logarithmic representations -- C1-co_niteness and fusion products of vertex operator algebras. |
| Record Nr. | UNINA-9910300144203321 |
| Heidelberg, Germany : , : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads and universal algebra [[electronic resource] ] : proceedings of the International Conference on Operads and Universal Algebra, Tianjin, China, 5-9 July 2010 / / edited by Chengming Bai, Li Guo, Jean-Louis Loday
| Operads and universal algebra [[electronic resource] ] : proceedings of the International Conference on Operads and Universal Algebra, Tianjin, China, 5-9 July 2010 / / edited by Chengming Bai, Li Guo, Jean-Louis Loday |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (318 p.) |
| Disciplina | 512.62 |
| Altri autori (Persone) |
BaiChengming
GuoLi LodayJean-Louis |
| Collana | Nankai series in pure, applied mathematics and theoretical physics |
| Soggetto topico |
Operads
Algebra, Universal |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-66960-8
9786613646538 981-4365-12-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Organizing Committees; Speakers and Lectures; Participants and Photos; Contents; Grobner-Shirshov Bases for Categories L. A. Bokut, Yuqun Chen and Yu Li; 1. Introduction; 2. A short survey on Grobner-Shirshov bases; 3. Composition-Diamond lemma for categories; 3.1. Free categories and category partial algebras; 3.2. Composition-Diamond lemma for category partial algebras; 4. Grobner-Shirshov bases for the simplicial category and the cyclic category; 4.1. Grobner-Shirshov basis for the simplicial category; 4.2. Grobner-Shirshov basis for the cyclic category; References
Operads, Clones, and Distributive Laws Pierre-Louis Curien1. Introduction; 2. Three useful combinators; 3. Kan extensions; 4. Kelly's account of operads; 5. Operads from analytic functors; 6. Profunctors; 7. Profunctors as a Kleisli category; 8. Distributive laws; 9. A !/Psh distributive law; 10. Intermezzo; 11. The (bi)category Prof ?; 12. Cooperads and properads; References; Leibniz Superalgebras Graded by Finite Root Systems Naihong Hu, Dong Liu and Linsheng Zhu; 1. Introduction; 2. Associative super dialgebras and leibniz superalgebras; 2.1. Associative super dialgebras 2.2. Leibniz superalgebra2.3. Leibniz algebras graded by finite root systems; 3. Leibniz superalgebras graded by finite root systems; 4. The structure of the A(m, n)-graded Leibniz superalgebras (m > n); 5. The structure of -graded Leibniz superalgebras of other types; ACKNOWLEDGMENTS; References; Tridendriform Algebras Spanned by Partitions Daniel Jimenez and Marıa Ronco; Introduction; 1. Preliminaries; Shuffles; 2. Rota-Baxter algebras and tridendriform bialgebras; 3. Tridendriform structure on the space of partitions; 4. Tridendriform algebra structure on the maps between finite sets ReferencesGeneralized Disjunctive Languages and Universal Algebra Yun Liu; 1. Introduction; 2. K-Disjunctive languages and universal algebra; 3. Generalized disjunctive hierarchy; Acknowledgements; References; Koszul Duality of the Category of Trees and Bar Constructions for Operads Muriel Livernet; Introduction; 1. The tree category is Koszul; 1.1. The tree category TI; 1.2. Bar construction for the category TI; 1.2.1. Bar construction; 1.2.2. Resolution of left and right TI -modules and Tor functors; 1.2.3. Normalized bar complex; 1.3. The Koszul complex of the category TI 1.3.1. The Koszul complex1.3.2. The Koszul complex of the category TI with coefficients; 1.4. The category TI is Koszul; 1.5. Bibliographical remarks; 2. Comparison of three di erent types of bar constructions for an operad; 2.1. Principle of the bar construction with coefficients; 2.2. Operads as left TI-modules; 2.3. Two-sided bar construction from the free operad functor; 2.3.1. The two-sided bar construction; 2.3.2. Right TI -modules and F-functors; 2.4. The bar construction with respect to the monoidal structure 2.5. The classical bar construction of operads, and the levelization morphism |
| Record Nr. | UNINA-9910451615403321 |
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads and universal algebra [[electronic resource] ] : proceedings of the International Conference on Operads and Universal Algebra, Tianjin, China, 5-9 July 2010 / / edited by Chengming Bai, Li Guo, Jean-Louis Loday
| Operads and universal algebra [[electronic resource] ] : proceedings of the International Conference on Operads and Universal Algebra, Tianjin, China, 5-9 July 2010 / / edited by Chengming Bai, Li Guo, Jean-Louis Loday |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (318 p.) |
| Disciplina | 512.62 |
| Altri autori (Persone) |
BaiChengming
GuoLi LodayJean-Louis |
| Collana | Nankai series in pure, applied mathematics and theoretical physics |
| Soggetto topico |
Operads
Algebra, Universal |
| ISBN |
1-280-66960-8
9786613646538 981-4365-12-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Organizing Committees; Speakers and Lectures; Participants and Photos; Contents; Grobner-Shirshov Bases for Categories L. A. Bokut, Yuqun Chen and Yu Li; 1. Introduction; 2. A short survey on Grobner-Shirshov bases; 3. Composition-Diamond lemma for categories; 3.1. Free categories and category partial algebras; 3.2. Composition-Diamond lemma for category partial algebras; 4. Grobner-Shirshov bases for the simplicial category and the cyclic category; 4.1. Grobner-Shirshov basis for the simplicial category; 4.2. Grobner-Shirshov basis for the cyclic category; References
Operads, Clones, and Distributive Laws Pierre-Louis Curien1. Introduction; 2. Three useful combinators; 3. Kan extensions; 4. Kelly's account of operads; 5. Operads from analytic functors; 6. Profunctors; 7. Profunctors as a Kleisli category; 8. Distributive laws; 9. A !/Psh distributive law; 10. Intermezzo; 11. The (bi)category Prof ?; 12. Cooperads and properads; References; Leibniz Superalgebras Graded by Finite Root Systems Naihong Hu, Dong Liu and Linsheng Zhu; 1. Introduction; 2. Associative super dialgebras and leibniz superalgebras; 2.1. Associative super dialgebras 2.2. Leibniz superalgebra2.3. Leibniz algebras graded by finite root systems; 3. Leibniz superalgebras graded by finite root systems; 4. The structure of the A(m, n)-graded Leibniz superalgebras (m > n); 5. The structure of -graded Leibniz superalgebras of other types; ACKNOWLEDGMENTS; References; Tridendriform Algebras Spanned by Partitions Daniel Jimenez and Marıa Ronco; Introduction; 1. Preliminaries; Shuffles; 2. Rota-Baxter algebras and tridendriform bialgebras; 3. Tridendriform structure on the space of partitions; 4. Tridendriform algebra structure on the maps between finite sets ReferencesGeneralized Disjunctive Languages and Universal Algebra Yun Liu; 1. Introduction; 2. K-Disjunctive languages and universal algebra; 3. Generalized disjunctive hierarchy; Acknowledgements; References; Koszul Duality of the Category of Trees and Bar Constructions for Operads Muriel Livernet; Introduction; 1. The tree category is Koszul; 1.1. The tree category TI; 1.2. Bar construction for the category TI; 1.2.1. Bar construction; 1.2.2. Resolution of left and right TI -modules and Tor functors; 1.2.3. Normalized bar complex; 1.3. The Koszul complex of the category TI 1.3.1. The Koszul complex1.3.2. The Koszul complex of the category TI with coefficients; 1.4. The category TI is Koszul; 1.5. Bibliographical remarks; 2. Comparison of three di erent types of bar constructions for an operad; 2.1. Principle of the bar construction with coefficients; 2.2. Operads as left TI-modules; 2.3. Two-sided bar construction from the free operad functor; 2.3.1. The two-sided bar construction; 2.3.2. Right TI -modules and F-functors; 2.4. The bar construction with respect to the monoidal structure 2.5. The classical bar construction of operads, and the levelization morphism |
| Record Nr. | UNINA-9910779285303321 |
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads and universal algebra : proceedings of the International Conference on Operads and Universal Algebra, Tianjin, China, 5-9 July 2010 / / edited by Chengming Bai, Li Guo, Jean-Louis Loday
| Operads and universal algebra : proceedings of the International Conference on Operads and Universal Algebra, Tianjin, China, 5-9 July 2010 / / edited by Chengming Bai, Li Guo, Jean-Louis Loday |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (318 p.) |
| Disciplina | 512.62 |
| Altri autori (Persone) |
BaiChengming
GuoLi LodayJean-Louis |
| Collana | Nankai series in pure, applied mathematics and theoretical physics |
| Soggetto topico |
Operads
Algebra, Universal |
| ISBN |
1-280-66960-8
9786613646538 981-4365-12-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Organizing Committees; Speakers and Lectures; Participants and Photos; Contents; Grobner-Shirshov Bases for Categories L. A. Bokut, Yuqun Chen and Yu Li; 1. Introduction; 2. A short survey on Grobner-Shirshov bases; 3. Composition-Diamond lemma for categories; 3.1. Free categories and category partial algebras; 3.2. Composition-Diamond lemma for category partial algebras; 4. Grobner-Shirshov bases for the simplicial category and the cyclic category; 4.1. Grobner-Shirshov basis for the simplicial category; 4.2. Grobner-Shirshov basis for the cyclic category; References
Operads, Clones, and Distributive Laws Pierre-Louis Curien1. Introduction; 2. Three useful combinators; 3. Kan extensions; 4. Kelly's account of operads; 5. Operads from analytic functors; 6. Profunctors; 7. Profunctors as a Kleisli category; 8. Distributive laws; 9. A !/Psh distributive law; 10. Intermezzo; 11. The (bi)category Prof ?; 12. Cooperads and properads; References; Leibniz Superalgebras Graded by Finite Root Systems Naihong Hu, Dong Liu and Linsheng Zhu; 1. Introduction; 2. Associative super dialgebras and leibniz superalgebras; 2.1. Associative super dialgebras 2.2. Leibniz superalgebra2.3. Leibniz algebras graded by finite root systems; 3. Leibniz superalgebras graded by finite root systems; 4. The structure of the A(m, n)-graded Leibniz superalgebras (m > n); 5. The structure of -graded Leibniz superalgebras of other types; ACKNOWLEDGMENTS; References; Tridendriform Algebras Spanned by Partitions Daniel Jimenez and Marıa Ronco; Introduction; 1. Preliminaries; Shuffles; 2. Rota-Baxter algebras and tridendriform bialgebras; 3. Tridendriform structure on the space of partitions; 4. Tridendriform algebra structure on the maps between finite sets ReferencesGeneralized Disjunctive Languages and Universal Algebra Yun Liu; 1. Introduction; 2. K-Disjunctive languages and universal algebra; 3. Generalized disjunctive hierarchy; Acknowledgements; References; Koszul Duality of the Category of Trees and Bar Constructions for Operads Muriel Livernet; Introduction; 1. The tree category is Koszul; 1.1. The tree category TI; 1.2. Bar construction for the category TI; 1.2.1. Bar construction; 1.2.2. Resolution of left and right TI -modules and Tor functors; 1.2.3. Normalized bar complex; 1.3. The Koszul complex of the category TI 1.3.1. The Koszul complex1.3.2. The Koszul complex of the category TI with coefficients; 1.4. The category TI is Koszul; 1.5. Bibliographical remarks; 2. Comparison of three di erent types of bar constructions for an operad; 2.1. Principle of the bar construction with coefficients; 2.2. Operads as left TI-modules; 2.3. Two-sided bar construction from the free operad functor; 2.3.1. The two-sided bar construction; 2.3.2. Right TI -modules and F-functors; 2.4. The bar construction with respect to the monoidal structure 2.5. The classical bar construction of operads, and the levelization morphism |
| Record Nr. | UNINA-9910823329403321 |
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
| Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina | 530.143 |
| Altri autori (Persone) |
BaiChengming
GeM. L (Mo-Lin) JingNaihuan |
| Collana | Nankai series in pure, applied mathematics and theoretical physics |
| Soggetto topico |
Quantum groups
Physics Quantum theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4340-45-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Programs; A Note on Brauer-Schur Functions Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada; 1. Introduction; 2. Brauer-Schur functions; 3. Cauchy type formula; 4. Monomial expansion; References; O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras Chengming Bai, Li Guo and Xiang Ni; 1. Introduction; 1.1. Rota-Baxter algebras, Yang-Baxter equations and dendriform algebras; 1.2. O-operators and layout of the paper; 2. O-operators and extended O-operators; 2.1. Bimodules and A-bimodule k-algebras; 2.2. Extended O-operators
2.2.1. O-operators2.2.2. Balanced homomorphisms; 2.2.3. Extended O-operators; 2.3. Extended O-operators, O-operators and Rota-Baxter operators: the first connection; 3. Extended O-operators and AYBE; 3.1. Extended AYBE; 3.2. From EAYBE to Extended O-operators; 3.3. From extended O-operators to EAYBE; 3.3.1. The general case; 3.3.2. The case of Frobenius algebras; 4. Antisymmetric infinitesimal bialgebras and generalized AYBE; 4.1. Antisymmetric infinitesimal bialgebras, generalized AYBE and extended O-operators; 4.2. Factorizable quasitriangular antisymmetric infinitesimal bialgebras 5. O-operators and dendriform algebras5.1. Rota-Baxter algebras and dendriform algebras; 5.2. From O-operators to dendriform algebras on the domains; 5.3. From O-operators to dendriform algebras on the ranges; 6. O-operators, Rota-Baxter operators, relative differential operators, dendriform algebras and AYBEs; 6.1. O-operators and Rota-Baxter operators: the second connection; 6.2. Relative differential operators and Rota-Baxter operators; 6.3. Characterizations of dendriform algebras in terms of bimodules and associativity; 6.4. Dendriform algebras and AYBEs; Acknowledgements; References Irreducible Wakimoto-like Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng1. Introduction; 2. Finite dimensional case; 3. Affine case; References; Verma Modules over Generic Exp-Polynomial Lie Algebras Xiangqian Guo, Xuewen Liu and Kaiming Zhao; 1. Introduction; 2. Main results and applications; 3. Properties on generic exp-polynomial functions; 4. Verma modules over generic exp-polynomial Lie algebras; Acknowledgments; References; A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G. F. Helminck, E. A. Panasenko and A. O. Sergeeva 1. Introduction2. The finite dimensional setting; 3. The Cauchy problem: infinite dimensional case; 4. The Cauchy problem in integrable hierarchies; 4.1. Lower triangular matrices; 4.2. The Lax equations of the ( k, h 0)-hierarchy; 4.3. The zero curvature form of the hierarchy; 4.4. Wave matrices for the ( k, h 0)-hierarchy; 4.5. The relation with Cauchy problems; References; Partially Harmonic Tensors and Quantized Schur-Weyl Duality Jun Hu and Zhankui Xiao; 1. Introduction; 2. Quantized Enveloping Algebra and BMW Algebra; Acknowledgments; References Quantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing |
| Record Nr. | UNINA-9910457528503321 |
| Hackensack, N.J., : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
| Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina | 530.143 |
| Altri autori (Persone) |
BaiChengming
GeM. L (Mo-Lin) JingNaihuan |
| Collana | Nankai series in pure, applied mathematics and theoretical physics |
| Soggetto topico |
Quantum groups
Physics Quantum theory |
| ISBN | 981-4340-45-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Programs; A Note on Brauer-Schur Functions Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada; 1. Introduction; 2. Brauer-Schur functions; 3. Cauchy type formula; 4. Monomial expansion; References; O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras Chengming Bai, Li Guo and Xiang Ni; 1. Introduction; 1.1. Rota-Baxter algebras, Yang-Baxter equations and dendriform algebras; 1.2. O-operators and layout of the paper; 2. O-operators and extended O-operators; 2.1. Bimodules and A-bimodule k-algebras; 2.2. Extended O-operators
2.2.1. O-operators2.2.2. Balanced homomorphisms; 2.2.3. Extended O-operators; 2.3. Extended O-operators, O-operators and Rota-Baxter operators: the first connection; 3. Extended O-operators and AYBE; 3.1. Extended AYBE; 3.2. From EAYBE to Extended O-operators; 3.3. From extended O-operators to EAYBE; 3.3.1. The general case; 3.3.2. The case of Frobenius algebras; 4. Antisymmetric infinitesimal bialgebras and generalized AYBE; 4.1. Antisymmetric infinitesimal bialgebras, generalized AYBE and extended O-operators; 4.2. Factorizable quasitriangular antisymmetric infinitesimal bialgebras 5. O-operators and dendriform algebras5.1. Rota-Baxter algebras and dendriform algebras; 5.2. From O-operators to dendriform algebras on the domains; 5.3. From O-operators to dendriform algebras on the ranges; 6. O-operators, Rota-Baxter operators, relative differential operators, dendriform algebras and AYBEs; 6.1. O-operators and Rota-Baxter operators: the second connection; 6.2. Relative differential operators and Rota-Baxter operators; 6.3. Characterizations of dendriform algebras in terms of bimodules and associativity; 6.4. Dendriform algebras and AYBEs; Acknowledgements; References Irreducible Wakimoto-like Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng1. Introduction; 2. Finite dimensional case; 3. Affine case; References; Verma Modules over Generic Exp-Polynomial Lie Algebras Xiangqian Guo, Xuewen Liu and Kaiming Zhao; 1. Introduction; 2. Main results and applications; 3. Properties on generic exp-polynomial functions; 4. Verma modules over generic exp-polynomial Lie algebras; Acknowledgments; References; A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G. F. Helminck, E. A. Panasenko and A. O. Sergeeva 1. Introduction2. The finite dimensional setting; 3. The Cauchy problem: infinite dimensional case; 4. The Cauchy problem in integrable hierarchies; 4.1. Lower triangular matrices; 4.2. The Lax equations of the ( k, h 0)-hierarchy; 4.3. The zero curvature form of the hierarchy; 4.4. Wave matrices for the ( k, h 0)-hierarchy; 4.5. The relation with Cauchy problems; References; Partially Harmonic Tensors and Quantized Schur-Weyl Duality Jun Hu and Zhankui Xiao; 1. Introduction; 2. Quantized Enveloping Algebra and BMW Algebra; Acknowledgments; References Quantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing |
| Record Nr. | UNINA-9910779067003321 |
| Hackensack, N.J., : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantized algebra and physics : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
| Quantized algebra and physics : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina | 530.143 |
| Altri autori (Persone) |
BaiChengming
GeM. L (Mo-Lin) JingNaihuan |
| Collana | Nankai series in pure, applied mathematics and theoretical physics |
| Soggetto topico |
Quantum groups
Physics Quantum theory |
| ISBN | 981-4340-45-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Programs; A Note on Brauer-Schur Functions Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada; 1. Introduction; 2. Brauer-Schur functions; 3. Cauchy type formula; 4. Monomial expansion; References; O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras Chengming Bai, Li Guo and Xiang Ni; 1. Introduction; 1.1. Rota-Baxter algebras, Yang-Baxter equations and dendriform algebras; 1.2. O-operators and layout of the paper; 2. O-operators and extended O-operators; 2.1. Bimodules and A-bimodule k-algebras; 2.2. Extended O-operators
2.2.1. O-operators2.2.2. Balanced homomorphisms; 2.2.3. Extended O-operators; 2.3. Extended O-operators, O-operators and Rota-Baxter operators: the first connection; 3. Extended O-operators and AYBE; 3.1. Extended AYBE; 3.2. From EAYBE to Extended O-operators; 3.3. From extended O-operators to EAYBE; 3.3.1. The general case; 3.3.2. The case of Frobenius algebras; 4. Antisymmetric infinitesimal bialgebras and generalized AYBE; 4.1. Antisymmetric infinitesimal bialgebras, generalized AYBE and extended O-operators; 4.2. Factorizable quasitriangular antisymmetric infinitesimal bialgebras 5. O-operators and dendriform algebras5.1. Rota-Baxter algebras and dendriform algebras; 5.2. From O-operators to dendriform algebras on the domains; 5.3. From O-operators to dendriform algebras on the ranges; 6. O-operators, Rota-Baxter operators, relative differential operators, dendriform algebras and AYBEs; 6.1. O-operators and Rota-Baxter operators: the second connection; 6.2. Relative differential operators and Rota-Baxter operators; 6.3. Characterizations of dendriform algebras in terms of bimodules and associativity; 6.4. Dendriform algebras and AYBEs; Acknowledgements; References Irreducible Wakimoto-like Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng1. Introduction; 2. Finite dimensional case; 3. Affine case; References; Verma Modules over Generic Exp-Polynomial Lie Algebras Xiangqian Guo, Xuewen Liu and Kaiming Zhao; 1. Introduction; 2. Main results and applications; 3. Properties on generic exp-polynomial functions; 4. Verma modules over generic exp-polynomial Lie algebras; Acknowledgments; References; A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G. F. Helminck, E. A. Panasenko and A. O. Sergeeva 1. Introduction2. The finite dimensional setting; 3. The Cauchy problem: infinite dimensional case; 4. The Cauchy problem in integrable hierarchies; 4.1. Lower triangular matrices; 4.2. The Lax equations of the ( k, h 0)-hierarchy; 4.3. The zero curvature form of the hierarchy; 4.4. Wave matrices for the ( k, h 0)-hierarchy; 4.5. The relation with Cauchy problems; References; Partially Harmonic Tensors and Quantized Schur-Weyl Duality Jun Hu and Zhankui Xiao; 1. Introduction; 2. Quantized Enveloping Algebra and BMW Algebra; Acknowledgments; References Quantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing |
| Record Nr. | UNINA-9910825173703321 |
| Hackensack, N.J., : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||