A result extended from groups to Hopf algebras
type: Item
instance of: scholarly article
title: A result extended from groups to Hopf algebras
zbMATH Open document ID: 0894.16019
author: Toshiharu Kobayashi
author: Akira Masuoka
published in: Tsukuba Journal of Mathematics
publication date: 1998-09-08T00:00:00Z
review text: We work over an algebraically closed field \(k\) of characteristic 0. The aim of this short note is to prove the following theorem, which is an extension of a well-known fact on finite groups to finite-dimensional semisimple Hopf algebras. Theorem. Let \(p\) be an odd prime which is congruent to 2 modulo 3. Then a semisimple Hopf algebra of dimension \(3p\) is isomorphic to the group-like Hopf algebra \(kC_{3p}\) of the cyclic group \(C_{3p}\) of order \(3p\).
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 1102910
zbMATH Keywords: finite-dimensional semisimple Hopf algebras
zbMATH Keywords: group-like Hopf algebras
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496163161
OpenAlex ID: W2229489885
DOI: 10.21099/TKBJM/1496163161
description: scientific article; zbMATH DE number 1102910