Trace-like invariant for representations of nilpotent liftings of quantum planes

2009/10/29 by Andrea Jedwab, Jedwab, Andrea, Leonid Krop +1
Mathematics · #16T05 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.QA #math.RA #math.RT #msc:16T05

paper · pdf · doi:10.48550/arxiv.0910.5570

12 pages

arxiv created 2009/10/29 · arxiv updated 2009/12/01

Abstract

We derive a formula for the trace of the antipode on endomorphism algebras of simple self-dual modules of nilpotent liftings of quantum planes. We show that the trace is equal to the quantum dimension of the module up to a nonzero scalar depending on the simple module.

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