Journal article
FSZ-groups and Frobenius-Schur indicators of quantum doubles
Mathematical Research Letters, Vol.21(4), pp.757-779
2014
DOI: 10.4310/MRL.2014.v21.n4.a9
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.
Details
- Title: Subtitle
- FSZ-groups and Frobenius-Schur indicators of quantum doubles
- Creators
- M IovanovG MasonS Montgomery
- Resource Type
- Journal article
- Publication Details
- Mathematical Research Letters, Vol.21(4), pp.757-779
- DOI
- 10.4310/MRL.2014.v21.n4.a9
- ISSN
- 1945-001X
- eISSN
- 1945-001X
- Language
- English
- Date published
- 2014
- Academic Unit
- Mathematics
- Record Identifier
- 9983985987302771
Metrics
17 Record Views