Code
01D08819
Duration
01 October 2019 → 01 November 2019
Funding
Regional and community funding: Special Research Fund
Promotor
Fellow
Research disciplines
-
Natural sciences
- Associative rings and algebras
- Harmonic analysis on Euclidean spaces
- Special functions
Keywords
Multivariate orthogonal polynomials
quantum groups
representation theory
(super)integrable systems
Dunkl operators
quantum symmetric pairs
Project description
The central objects of this proposal are the Askey-Wilson and q-Onsager algebra. These q-deformed algebras arise as symmetry algebras of superintegrable quantum systems. We will study two generalizations, which appear when extending the systems to multiple particles, and which are algebraically derived from quantum symmetric pairs. Moreover, this allows to extend known connections with orthogonal polynomials to several variables.