FSZ-groups and Frobenius-Schur indicators of quantum doubles

被引：8

作者：

Iovanov, M. ^{[1
,2
]}

Mason, G. ^{[3
]}

Montgomery, S. ^{[4
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Univ Bucharest, Dept Math, Bucharest, Romania

[3] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[4] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2014年 / 21卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.4310/MRL.2014.v21.n4.a9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the higher Frobenius-Schur indicators of the representations of the Drinfel'd double of a finite group G, in particular the question as to when all the indicators are integers. This turns out to be an interesting group-theoretic question. We show that many groups have this property, such as alternating and symmetric groups, PSL2(q), M-11, M-12 and regular nilpotent groups. However, we show there is an irregular nilpotent group of order 5(6) with non-integer indicators.

引用

页码：757 / 779

页数：23

共 18 条

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