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arXiv · 1208.4153

$FSZ$-groups and Frobenius-Schur Indicators of Quantum Doubles

Miodrag Iovanov·Geoffrey Mason·Susan Montgomery
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Abstract

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, PSL_2(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.

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BibTeXRIS

Miodrag Iovanov, Geoffrey Mason, Susan Montgomery. 2012-08-21. $FSZ$-groups and Frobenius-Schur Indicators of Quantum Doubles. https://arxiv.org/abs/1208.4153

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