
Hopf Algebras, Tensor Categories and Related Topics
American Mathematical Society (Publisher)
Will be published approx. on 30. October 2021
Book
Paperback/Softback
359 pages
978-1-4704-5624-5 (ISBN)
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
654 gr
ISBN-13
978-1-4704-5624-5 (9781470456245)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Nicolas Andruskiewitsch, Universidad Nacional de Cordoba-CONICET, Argentina.
Gongxiang Liu, Nanjing University, China.
Susan Montgomery, University of Southern California, Los Angeles, CA.
Yinhuo Zhang, University of Hasselt, Hesselt, Belgium.
Gongxiang Liu, Nanjing University, China.
Susan Montgomery, University of Southern California, Los Angeles, CA.
Yinhuo Zhang, University of Hasselt, Hesselt, Belgium.
Content
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
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