Finite-dimensional Hopf algebras over the Hopf algebra Hb:1 of Kashina

被引：7

作者：

Zheng, Yiwei ^{[1
]}

Gao, Yun ^{[2
]}

Hu, Naihong ^{[3
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

[3] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2021年 / 567卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Semisimple Hopf algebra; Nichols algebra; Yetter-Drinfeld module; Classification; NICHOLS ALGEBRAS; CLASSIFICATION;

D O I：

10.1016/j.jalgebra.2020.09.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be the 16-dimensional nontrivial semisimple Hopf algebra H-b(:1) appeared in Kashina's work [32]. We obtain all simple Yetter-Drinfeld modules over H and then determine all finite-dimensional Nichols algebras satisfying B(V) similar or equal to circle times(i is an element of I) B(V-i), where V = circle plus(i is an element of I) V-i, each V-i is a simple object in (H)(H) yD. Finally, we describe all liftings of those B(V) over H. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：613 / 659

页数：47

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