Hopf algebras, tensor categories and related topics : International Workshop on Hopf Algebras and Tensor Categories, September 9-13, 2019, Nanjing University, Nanjing, China
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Bibliographic Information
Hopf algebras, tensor categories and related topics : International Workshop on Hopf Algebras and Tensor Categories, September 9-13, 2019, Nanjing University, Nanjing, China
(Contemporary mathematics, 771)
American Mathematical Society, c2021
- : pbk
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Other editors: Gongxiang Liu, Susan Montgomery, Yinhuo Zhang
Includes bibliographical references
Description and Table of Contents
Description
Articles in this volume are based on talks given at the International Workshop on Hopf Algebras and Tensor Categories, held from September 9-13, 2019, at Nanjing University, Nanjing, China.
The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras.
Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.
Table of Contents
G. Bohm and J. Vercruysse, BiHom Hopf algebras viewed as Hopf monoids
K. A. Brown and J. J. Zhang, Survey on Hopf algebras of GK-dimension 1 and 2
D. Bulacu and B. Torrecillas, On braided double-biproduct Hopf algebras
J. Fuchs, G. Schaumann, and C. Schweigert, Module Eilenberg-Watts calculus
L. Guo and L. Li, Coherent unit actions on braided operads and Hopf algebras
N. Hu and R. Zhuang, A novel quantum affine algebra of type $A^{(1)}_1$ and its PBW basis
H.-L. Huang, G. Liu, Y. Yang, and Y. Ye, Finite quasi-quantum groups over abelian groups
Y. Kashina and Y. Sommerhauser, On biproducts and extensions
S. Natale, On the notion of exact sequence: From Hopf algebras to tensor categories
T. Shibata, Algebraic supergroups and their representations
K. Shimizu, Hopf algebraic methods in finite tensor categories: characters and integrals
M. Wakui, Indecomposability of weak Hopf algebras
Y. Yang and Y. Zhang, Quasi-Hopf algebras of Cartan type and small quasi-quantum groups
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