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 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
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 | ||
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Lo trovi qui: Univ. Federico II | ||
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Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
Descrizione fisica | 1 online resource (482 p.) |
Disciplina | 512/.55 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of Lie algebras
Affine algebraic groups Representations of quantum groups Representations of algebras |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-7838-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras""; ""A note on embeddings of some Lie algebras defined by matrices""; ""Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators""; ""Monomial bases of quantized enveloping algebras""; ""Quantized W-algebra of sl(2, 1): A construction from the quantization of screening operators""; ""Affine algebras and non-perturbative symmetries in superstring theory""
""Automorphism groups and twisted modules for lattice vertex operator algebras""""Truncated meanders""; ""The q-characters of representations of quantum affine algebras and deformations of W-algebras""; ""Melzer's identities revisited""; ""Automorphisms of lattice type vertex operator algebras and variations, a survey""; ""Remarks on fermionic formula""; ""q-vertex operators for quantum affine algebras""; ""Homology of certain truncated Lie algebras""; ""Vertex operator algebras and the zeta function""; ""On Z-graded associative algebras and their N-graded modules"" ""An A-form technique of quantum deformations""""Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with |q| = 1""; ""Functorial properties of the hypergeometric map""; ""Polyhedral realizations of crystal bases and braid-type isomorphisms""; ""Meromorphic tensor categories, quantum affine and chiral algebras I""; ""Dual pairs and infinite dimensional Lie algebras"" |
Record Nr. | UNINA-9910480212803321 |
Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
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Lo trovi qui: Univ. Federico II | ||
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Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
Descrizione fisica | 1 online resource (482 p.) |
Disciplina | 512/.55 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of Lie algebras
Affine algebraic groups Representations of quantum groups Representations of algebras |
ISBN | 0-8218-7838-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras""; ""A note on embeddings of some Lie algebras defined by matrices""; ""Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators""; ""Monomial bases of quantized enveloping algebras""; ""Quantized W-algebra of sl(2, 1): A construction from the quantization of screening operators""; ""Affine algebras and non-perturbative symmetries in superstring theory""
""Automorphism groups and twisted modules for lattice vertex operator algebras""""Truncated meanders""; ""The q-characters of representations of quantum affine algebras and deformations of W-algebras""; ""Melzer's identities revisited""; ""Automorphisms of lattice type vertex operator algebras and variations, a survey""; ""Remarks on fermionic formula""; ""q-vertex operators for quantum affine algebras""; ""Homology of certain truncated Lie algebras""; ""Vertex operator algebras and the zeta function""; ""On Z-graded associative algebras and their N-graded modules"" ""An A-form technique of quantum deformations""""Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with |q| = 1""; ""Functorial properties of the hypergeometric map""; ""Polyhedral realizations of crystal bases and braid-type isomorphisms""; ""Meromorphic tensor categories, quantum affine and chiral algebras I""; ""Dual pairs and infinite dimensional Lie algebras"" |
Record Nr. | UNINA-9910788652303321 |
Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
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Lo trovi qui: Univ. Federico II | ||
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Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
Descrizione fisica | 1 online resource (482 p.) |
Disciplina | 512/.55 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of Lie algebras
Affine algebraic groups Representations of quantum groups Representations of algebras |
ISBN | 0-8218-7838-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras""; ""A note on embeddings of some Lie algebras defined by matrices""; ""Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators""; ""Monomial bases of quantized enveloping algebras""; ""Quantized W-algebra of sl(2, 1): A construction from the quantization of screening operators""; ""Affine algebras and non-perturbative symmetries in superstring theory""
""Automorphism groups and twisted modules for lattice vertex operator algebras""""Truncated meanders""; ""The q-characters of representations of quantum affine algebras and deformations of W-algebras""; ""Melzer's identities revisited""; ""Automorphisms of lattice type vertex operator algebras and variations, a survey""; ""Remarks on fermionic formula""; ""q-vertex operators for quantum affine algebras""; ""Homology of certain truncated Lie algebras""; ""Vertex operator algebras and the zeta function""; ""On Z-graded associative algebras and their N-graded modules"" ""An A-form technique of quantum deformations""""Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with |q| = 1""; ""Functorial properties of the hypergeometric map""; ""Polyhedral realizations of crystal bases and braid-type isomorphisms""; ""Meromorphic tensor categories, quantum affine and chiral algebras I""; ""Dual pairs and infinite dimensional Lie algebras"" |
Record Nr. | UNINA-9910828837803321 |
Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
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Lo trovi qui: Univ. Federico II | ||
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Representations of Lie algebras, quantum groups, and related topics : AMS Special Session on Representations of Lie Algebras, Quantum Groups, and Related Topics, November 12-13, 2016, North Carolina State University, Raleigh, North Carolina / / Naihuan Jing, Kailash C. Misra, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2018 |
Descrizione fisica | 1 online resource (242 pages) |
Disciplina | 512.482 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of Lie algebras
Algebra |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-4882-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910480227403321 |
Providence, Rhode Island : , : American Mathematical Society, , 2018 | ||
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Lo trovi qui: Univ. Federico II | ||
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Representations of Lie algebras, quantum groups, and related topics : AMS Special Session on Representations of Lie Algebras, Quantum Groups, and Related Topics, November 12-13, 2016, North Carolina State University, Raleigh, North Carolina / / Naihuan Jing, Kailash C. Misra, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2018 |
Descrizione fisica | 1 online resource (242 pages) |
Disciplina | 512.482 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of Lie algebras
Algebra |
ISBN | 1-4704-4882-3 |
Classificazione | 05E1011B3914M1517A3217B1017B3717B6717B6920G0581R50 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910793168303321 |
Providence, Rhode Island : , : American Mathematical Society, , 2018 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Representations of Lie algebras, quantum groups, and related topics : AMS Special Session on Representations of Lie Algebras, Quantum Groups, and Related Topics, November 12-13, 2016, North Carolina State University, Raleigh, North Carolina / / Naihuan Jing, Kailash C. Misra, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2018 |
Descrizione fisica | 1 online resource (242 pages) |
Disciplina | 512.482 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of Lie algebras
Algebra |
ISBN | 1-4704-4882-3 |
Classificazione | 05E1011B3914M1517A3217B1017B3717B6717B6920G0581R50 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910808122603321 |
Providence, Rhode Island : , : American Mathematical Society, , 2018 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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