Group Elements of Some Semisimple Finite-Dimensional Hopf Algebras

被引：0

作者：

Puninskii, E. G. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2010年 / 65卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.3103/S0027132210050037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

V. A. Artamonov and I. A. Chubarov proved a criterion under which an element of some semisimple finite- dimensional Hopf algebra is group- like. The studied Hopf algebra has only one nonone- dimensional irreducible representation. Let n be a dimension of this representation. It is shown in this paper that for odd prime n the set of group- like elements of these algebras is a cyclic group of order 2n.

引用

页码：191 / 195

页数：5

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