Double Construction for Crossed Hopf Coalgebras

2002/12/14 by Marco Zunino, Zunino, Marco
Mathematics · #16W30 #57R56 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16W30 #msc:57R56 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/0212192

22 pages, latex

arxiv created 2002/12/14 · arxiv updated 2009/11/30

Abstract

We provide an analog of the Drinfeld quantum double construction in the context of crossed Hopf group coalgebras introduced by Turaev. We prove that, provided the base group is finite, the double of a semisimple crossed Hopf group coalgebra is both modular and unimodular.

Related

• Tannaka Reconstruction for Crossed Hopf Group Coalgebras
• Yetter-Drinfeld modules for Turaev crossed structures
• The ribbon category of representations of a crossed module
• Crossed Products by a Coalgebra
• On modular double of semisimple quantum groups