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Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors
| Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operads
Ordered algebraic structures Moduli theory Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7793-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Definitions: operads, algebras and modules""; ""The pre-history of operads""; ""Operads, algebras, and modules""; ""Relating the associahedron and the permutohedron""; ""Combinatorial models for real configuration spaces and En-operads""; ""From operads to 'physically' inspired theories""; ""Operades des algebres ( k + 1 )-aires""; ""Coproduct and cogroups in the category of graded dual Leibniz algebras""; ""Cohomology of monoids in monoidal categories""; ""Distributive laws, bialgebras, and cohomology""; ""Deformations of algebras over a quadratic operad""
""Q-rings and the homology of the symmetric groups""""0. Introduction""; ""1. Q-rings and modules""; ""2. The Kudo-Araki algebra K and its dual""; ""3. Free Q-rings""; ""4. The extended Milnor coalgebra A""; ""5. The Nishida relations""; ""6. Q-coalgebras""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""References""; ""Operadic tensor products and smash products""; ""Homotopy Gerstenhaber algebras and topological field theory""; ""Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories"" ""Modular functor and representation theory of sl2 at a rational level""""Quantum generalized cohomology""; ""Non-commutative reciprocity laws associated to finite groups""; ""Index"" |
| Record Nr. | UNINA-9910480259203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors
| Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operads
Ordered algebraic structures Moduli theory Representations of algebras |
| ISBN | 0-8218-7793-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Definitions: operads, algebras and modules""; ""The pre-history of operads""; ""Operads, algebras, and modules""; ""Relating the associahedron and the permutohedron""; ""Combinatorial models for real configuration spaces and En-operads""; ""From operads to 'physically' inspired theories""; ""Operades des algebres ( k + 1 )-aires""; ""Coproduct and cogroups in the category of graded dual Leibniz algebras""; ""Cohomology of monoids in monoidal categories""; ""Distributive laws, bialgebras, and cohomology""; ""Deformations of algebras over a quadratic operad""
""Q-rings and the homology of the symmetric groups""""0. Introduction""; ""1. Q-rings and modules""; ""2. The Kudo-Araki algebra K and its dual""; ""3. Free Q-rings""; ""4. The extended Milnor coalgebra A""; ""5. The Nishida relations""; ""6. Q-coalgebras""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""References""; ""Operadic tensor products and smash products""; ""Homotopy Gerstenhaber algebras and topological field theory""; ""Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories"" ""Modular functor and representation theory of sl2 at a rational level""""Quantum generalized cohomology""; ""Non-commutative reciprocity laws associated to finite groups""; ""Index"" |
| Record Nr. | UNINA-9910788648703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors
| Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operads
Ordered algebraic structures Moduli theory Representations of algebras |
| ISBN | 0-8218-7793-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Definitions: operads, algebras and modules""; ""The pre-history of operads""; ""Operads, algebras, and modules""; ""Relating the associahedron and the permutohedron""; ""Combinatorial models for real configuration spaces and En-operads""; ""From operads to 'physically' inspired theories""; ""Operades des algebres ( k + 1 )-aires""; ""Coproduct and cogroups in the category of graded dual Leibniz algebras""; ""Cohomology of monoids in monoidal categories""; ""Distributive laws, bialgebras, and cohomology""; ""Deformations of algebras over a quadratic operad""
""Q-rings and the homology of the symmetric groups""""0. Introduction""; ""1. Q-rings and modules""; ""2. The Kudo-Araki algebra K and its dual""; ""3. Free Q-rings""; ""4. The extended Milnor coalgebra A""; ""5. The Nishida relations""; ""6. Q-coalgebras""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""References""; ""Operadic tensor products and smash products""; ""Homotopy Gerstenhaber algebras and topological field theory""; ""Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories"" ""Modular functor and representation theory of sl2 at a rational level""""Quantum generalized cohomology""; ""Non-commutative reciprocity laws associated to finite groups""; ""Index"" |
| Record Nr. | UNINA-9910811523203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| 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 | ||
| ||