On some properties of quantum doubles of finite groups
Quantum Algebra
2013-07-02 v2 Rings and Algebras
Representation Theory
Abstract
We prove two results about quantum doubles of finite groups over the complex field. The first result is the integrality theorem for higher Frobenius-Schur indicators for wreath product groups S_N#A^N, where A is a finite abelian group. A proof of this result for A=1 appears in arXiv:1208.4153. The second result is a lower bound for the largest possible number of irreducible representations of the quantum double of a finite group with at most n conjugacy classes. This answers a question asked to me by Eric Rowell.
Keywords
Cite
@article{arxiv.1208.4874,
title = {On some properties of quantum doubles of finite groups},
author = {Pavel Etingof},
journal= {arXiv preprint arXiv:1208.4874},
year = {2013}
}
Comments
5 pages, latex; small changes in the revision