Normal Hopf subalgebras of semisimple Drinfeld doubles
Quantum Algebra
2013-01-31 v4 Rings and Algebras
Representation Theory
Abstract
A description of all normal Hopf subalgebras of a semisimple Drinfeld double is given. This is obtained by considering an analogue of Goursat's lemma concerning fusion subcategories of Deligne products of two fusion categories. As an application we show that the Drinfeld double of any abelian extension is also an abelian extension.
Keywords
Cite
@article{arxiv.1005.2892,
title = {Normal Hopf subalgebras of semisimple Drinfeld doubles},
author = {Sebastian Burciu},
journal= {arXiv preprint arXiv:1005.2892},
year = {2013}
}
Comments
Title changed, 23 pages. Comments are welcomed!