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Characters of infinite-dimensional quantum classical groups: BCD cases (2106.12771v1)
Published 24 Jun 2021 in math.RT, math.OA, and math.PR
Abstract: We study the character theory of inductive limits of $q$-deformed classical compact groups. In particular, we clarify the relationship between the representation theory of Drinfeld-Jimbo quantized universal enveloping algebras and our previous work on the quantized characters. We also apply the character theory to construct Markov semigroups on unitary duals of $SO_q(2N+1)$, $Sp_q(N)$, and their inductive limits.