24 citations · 158 across the 23 of their papers we have counts for
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The rational Sklyanin algebra and the Wilson and para-Racah polynomials
Geoffroy Bergeron, Julien Gaboriaud, Luc Vinet +1
The relation between Wilson and para-Racah polynomials and representations of the degenerate rational Sklyanin algebra is established. Second order Heun operators on quadratic grid…
The Askey-Wilson algebra and its avatars
Nicolas Crampé, Luc Frappat, Julien Gaboriaud +3
The original Askey-Wilson algebra introduced by Zhedanov encodes the bispectrality properties of the eponym polynomials. The name 'Askey-Wilson algebra' is currently used to refer…
Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators
Julien Gaboriaud, Satoshi Tsujimoto, Luc Vinet +1
The -difference equation, the shift and the contiguity relations of the Askey-Wilson polynomials are cast in the framework of the three and four-dimensional degenerate Sklyanin…
A Howe correspondence for the algebra of the Clebsch-Gordan coefficients
Julien Gaboriaud, Luc Vinet
Two descriptions of the dual Hahn algebra are presented and shown to be related under Howe duality. The dual pair involved is formed by the Lie algebra and t…
Revisiting the Askey--Wilson algebra with the universal R-matrix of
Nicolas Crampe, Julien Gaboriaud, Luc Vinet +1
A description of the embedding of the universal Askey--Wilson algebra, AW(3), in is given in terms of the universal R-matrix of . The generators…