Abstract
An algebra is introduced which can be considered as a rank 2 extension of the Askey–Wilson algebra. Relations in this algebra are motivated by relations between coproducts of twisted primitive elements in the two-fold tensor product of the quantum algebra Uq (sl(2, C)). It is shown that bivariate q-Racah polynomials appear as overlap coefficients of eigenvectors of generators of the algebra. Furthermore, the corresponding q-difference operators are calculated using the defining relations of the algebra, showing that it encodes the bispectral properties of the bivariate q-Racah polynomials.
Original language | English |
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Article number | 008 |
Number of pages | 35 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 19 |
DOIs | |
Publication status | Published - 2023 |
Keywords
- Askey-Wilson algebra
- q-Racah polynomials