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math.RT2021★ 15 cited
Racah algebras, the centralizer and its Hilbert-Poincaré series
Nicolas Crampe, Julien Gaboriaud, Loïc Poulain d'Andecy +1
The higher rank Racah algebra introduced recently is recalled. A quotient of this algebra by central elements, which we call the special Racah algebra , is then intro…
math.RT2021
Orthogonal polynomials and the deformed Jordan plane
André Beaudoin, Geoffroy Bergeron, Antoine Brillant +3
We consider the unital associative algebra with two generators , obeying the defining relation .…
math.QA2021★ 4 cited
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…