English

Characters of infinite-dimensional quantum classical groups: BCD cases

Representation Theory 2021-06-25 v1 Operator Algebras Probability

Abstract

We study the character theory of inductive limits of qq-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)SO_q(2N+1), Spq(N)Sp_q(N), and their inductive limits.

Keywords

Cite

@article{arxiv.2106.12771,
  title  = {Characters of infinite-dimensional quantum classical groups: BCD cases},
  author = {Ryosuke Sato},
  journal= {arXiv preprint arXiv:2106.12771},
  year   = {2021}
}

Comments

16 pages

R2 v1 2026-06-24T03:32:25.270Z