Actions of quantum linear spaces on quantum algebras

被引：5

作者：

Cline, Zachary ^{[1
]}

Gaddis, Jason ^{[2
]}

机构：

[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

[2] Miami Univ, Dept Math, Oxford, OH 45056 USA

来源：

JOURNAL OF ALGEBRA | 2020年 / 556卷

关键词：

Pointed Hopf algebras; Hopf actions; Quantum algebras; Quantum linear spaces; POINTED HOPF-ALGEBRAS; AUTOMORPHISM-GROUPS; QUOTIENTS; PRODUCTS; ORDER;

D O I：

10.1016/j.jalgebra.2020.03.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In the former case, it is shown that all actions of generalized Taft algebras are trivial extensions of actions on quantum planes. In both cases we achieve bounds on the rank of the bosonization acting on the algebra. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：246 / 286

页数：41

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