Finite quasi-quantum groups of diagonal type-Reference-Cited by-同舟云学术

Finite quasi-quantum groups of diagonal type

Published:2020-02-01 Issue:759 Volume:2020 Page:201-243
ISSN:1435-5345
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
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Author:

Huang Hua-Lin¹,Liu Gongxiang²,Yang Yuping³,Ye Yu⁴

Affiliation:

1. School of Mathematical Sciences, Huaqiao University, Quanzhou362021, P. R. China

2. Department of Mathematics, Nanjing University, Nanjing210093, P. R. China

3. School of Mathematics and Statistics, Southwest University, Chongqing400715, P. R. China

4. School of Mathematical Sciences, University of Science and Technology of China, Hefei230026, P. R. China

Abstract

AbstractIn this paper, we give a classification of finite-dimensional radically graded elementary quasi-Hopf algebras of diagonal type, or equivalently, finite-dimensional coradically graded pointed Majid algebras of diagonal type. By a Tannaka–Krein type duality, this determines a big class of pointed finite tensor categories. Some efficient methods of construction are also given.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2017-0058/pdf

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