Characters of infinite-dimensional quantum classical groups: BCD cases
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 SOq(2N+1), Spq(N), and their inductive limits.
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