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Tensor Categories and Hopf Algebras
This volume contains the proceedings of the scientific session ""Hopf Algebras and Tensor Categories"", held from July 27-28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and research directions in the theory of tens...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Contents; Preface; On finite GK-dimensional Nichols algebras of diagonal type; 1. Introduction; 2. Preliminaries; 3. General results; 4. Rank 2; References; On nonassociative graded-simple algebras over the field of real numbers; 1. Introduction; 2. Background on gradings; 3. Loop construction; 4. Alternative algebras; 5. Jordan algebras of degree 2; Acknowledgments; References; Nonsemisimple Hopf algebras of dimension 8 with the Chevalley property; 1. Introduction; 2. Preliminaries; 3. Nonsemisimple Hopf algebras of dimension 8
- 2. Pivotal structures matched to a module category3. Eigenvalues of ²; 4. Eigenvalues of ² for dynamical quantum groups at roots of 1; 5. Acknowledgements.; Appendix A. Module traces and inner-product structures; References; Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions; 0. Introduction; 1. Hom-sets of the quotient category; 2. Hom-sets of the quotient categories of smash products; 3. Invariant subalgebras of Hopf dense Galois extensions; 4. Cohen-Macaulay property of as an ^{ }-module; 5. Finite group actions on noetherian complete semilocal algebras
- 3. Pseudo-unitary inequality without pseudo-unitarity4. Bounds for formal codegrees; 5. Fusion categories of the same global dimension; Appendix A.; Acknowledgements; References; On Hopf algebras with triangular decomposition; 1. Introduction; 2. A general framework; 3. Preliminaries on Hopf algebras; 4. A method to construct Hopf algebras with triangular decomposition; 5. On the representation theory of \kuu_{(,)}(); Acknowedgments; References; Back Cover