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Bibliographic Details
Main Author:	Meereboer, Stein
Format:	Preprint
Published:	2024
Subjects:	Representation Theory Quantum Algebra 43
Online Access:	https://arxiv.org/abs/2405.15401
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Table of Contents:

Let $\mathfrak{g}$ be a complex semisimple Lie algebra and let $\mathbf{U}_q(\mathfrak{g})$ denote the associated Drinfel'd Jimbo quantized enveloping algebra. In this paper we study spherical functions of $\mathbf{U}_q(\mathfrak{g})$ related to characters. We show invariance under the Wang-Zhang braid group operators and show relative Weyl group invariance, when restricted to the quantum torus.