Multiplicative characters and Gaussian fluctuation limits
Representation Theory
2023-10-06 v2 Operator Algebras
Probability
Abstract
It is known that extreme characters of several inductive limits of compact groups exhibit multiplicativity in a certain sense. In the paper, we formulate such multiplicativity for inductive limit quantum groups and provide explicit examples of multiplicative characters in the case of quantum unitary groups. Furthermore, we show a Gaussian fluctuation limit theorem using this concept of multiplicativity.
Cite
@article{arxiv.2210.06024,
title = {Multiplicative characters and Gaussian fluctuation limits},
author = {Ryosuke Sato},
journal= {arXiv preprint arXiv:2210.06024},
year = {2023}
}
Comments
19 pages