Representation rings of extensions of Hopf algebra of Kac-Paljutkin type-Reference-Cited by-同舟云学术

Representation rings of extensions of Hopf algebra of Kac-Paljutkin type

Published:2024 Issue:9 Volume:32 Page:5201-5230
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Su Dong¹,Yang Shilin²

Affiliation:

1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

2. School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China

Abstract

<p>In this paper, we focus on studying two classes of finite dimensional $ \Delta $-associative algebras, which are extensions of a family of $ 2n^2 $-dimensional Kac-Paljutkin type semi-simple Hopf algebras $ H_{2n^2} $. All their indecomposable modules are classified. Furthermore, their representation rings are described by generators with suitable relations.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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