Wreath products of finite groups by quantum groups
Quantum Algebra
2015-11-16 v2 Operator Algebras
Abstract
We introduce a notion of partition wreath product of a finite group by a partition quantum group, a construction motivated on the one hand by classical wreath products and on the other hand by the free wreath product of J. Bichon. We identify the resulting quantum group in several cases, establish some of its properties and show that when the finite group in question is abelian, the partition wreath product is itself a partition quantum group. This allows us to compute its representation theory, using earlier results of the first named author.
Keywords
Cite
@article{arxiv.1510.05238,
title = {Wreath products of finite groups by quantum groups},
author = {Amaury Freslon and Adam Skalski},
journal= {arXiv preprint arXiv:1510.05238},
year = {2015}
}
Comments
25 pages. Minor corrections