Characters of integrable highest weight modules over a quantum group

2015/06/02 by Tanisaki, Toshiyuki
#17B37 #20G05 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1506.00826

Abstract

We show that the Weyl-Kac type character formula holds for the integrable highest weight modules over the quantized enveloping algebra of any symmetrizable Kac-Moody Lie algebra, when the parameter q is not a root of unity.

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