On some properties of quantum doubles of finite groups
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Etingof_On some.pdf
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Author(s)
Etingof, Pavel I
Date Issued
July 2013
Journal
Journal of Algebra
Publisher
Elsevier
Citation
Etingof, Pavel. “On Some Properties of Quantum Doubles of Finite Groups.” Journal of Algebra 394 (November 2013): 1–6.
Version
Original manuscript
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[subscript N]⋉A[superscript N], where A is a finite abelian group. A proof of this result for A=1 appears in a paper by Iovanov, Montgomery, and Mason. 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 by Eric Rowell.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/j.jalgebra.2013.07.004
