2010/05/17 by Sebastian Burciu, Burciu, Sebastian
Mathematics · #16W30 #18D10 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.QA #math.RA #math.RT #msc:16W30 #msc:18D10
paper · pdf · doi:10.48550/arxiv.1005.2892
Title changed, 23 pages. Comments are welcomed!
arxiv created 2013/01/30 · arxiv updated 2013/01/31
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.