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Hopf Algebras, Tensor Categories and Related Topics -

Hopf Algebras, Tensor Categories and Related Topics

Buch | Softcover
359 Seiten
2021
American Mathematical Society (Verlag)
978-1-4704-5624-5 (ISBN)
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Articles in this volume are based on talks given at the International Workshop on Hopf Algebras and Tensor Categories, held in September 2019,at Nanjing University, China. The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras.
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.

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.

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

Erscheinungsdatum
Reihe/Serie Contemporary Mathematics
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Gewicht 654 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-5624-9 / 1470456249
ISBN-13 978-1-4704-5624-5 / 9781470456245
Zustand Neuware
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