Year: 2025
Type: article
Abstract: We study certain overlap coefficients appearing in representation theory of the quantum algebra $$\mathcal {U}_q(\mathfrak {sl}_2(\mathbb {C}))$$ U q ( sl 2 ( C ) ) . The overlap coefficients can be identified as products of Askey–Wilson functions, leading to an algebraic interpretation of the multivariate Askey–Wilson functions introduced by Geronimo and Iliev [1]. We use the underlying coalgebra structure to derive q -difference equations satisfied by the multivariate Askey–Wilson functions.
Source: Arabian Journal of Mathematics
Author: Wolter Groenevelt
Institution: Delft University of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415665483