Gelfand-Kirillov dimension of some simple unitarizable modules

2017/09/25 by Chakraborty, Partha Sarathi, Saurabh, Bipul
#16P90 #17B37 #20G42 #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1709.08586

Abstract

Let O_q(G) be the quantized algebra of regular functions on a semisimple simply connected compact Lie group G. Simple unitarizable left O_q(G)-module are classified. In this article, we compute their Gelfand-Kirillov dimension where G is of the type A, C and D.

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