The representation-theoretic rank of the doubles of quasi-quantum groups

2006/12/28 by Daniel Bulacu, Bulacu, Daniel, Blas Torrecillas +1
Mathematics · #16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0612832

26 pages, no figures

arxiv created 2006/12/28 · arxiv updated 2009/12/01

Abstract

We compute the representation-theoretic rank of a finite dimensional quasi-Hopf algebra H and of its quantum double D(H), within the rigid braided category of finite dimensional left D(H)-modules.

Related

• Quantum Double for QuasiHopf Algebras
• Doubles of Quasi-Quantum Groups
• Quantum Frobenius and modularity for quantum groups at arbitrary roots of 1
• The quantum double for quasitriangular quasi-Hopf algebras
• Double-Bosonisation and the Construction of U_q(g)