On cores in Yetter-Drinfel'd Hopf algebras

被引：0

作者：

Kashina, Yevgenia ^{[1
]}

Sommerhauser, Yorck ^{[2
]}

机构：

[1] DePaul Univ, Dept Math Sci, Chicago, IL 60614 USA

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF ALGEBRA | 2021年 / 583卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hopf algebra; Yetter-Drinfel'd module; Core;

D O I：

10.1016/j.jalgebra.2021.04.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By constructing explicit examples, we show that the core of a group-like element in a cocommutative cosemisimple Yetter-Drinfel'd Hopf algebra over the group ring of a finite abelian group is not always completely trivial. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：89 / 125

页数：37

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