Characters of infinite-dimensional quantum classical groups: BCD cases

Author:

Sato Ryosuke1

Affiliation:

1. Graduate School of Mathematics, Nagoya University, Chikusaku, Nagoya 464-8602, Japan

Abstract

We study the character theory of inductive limits of [Formula: see text]-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 [Formula: see text], [Formula: see text], and their inductive limits.

Funder

JSPS Research Fellowship for Young Scientists

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

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