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math-ph2018★ 5 cited
Bargmann and Barut-Girardello models for the Racah algebra
Hendrik De Bie, Plamen Iliev, Luc Vinet
The Racah algebra and its higher rank extension are the algebras underlying the univariate and multivariate Racah polynomials. In this paper we develop two new models in which the…
math.QA2018★ 17 cited
The higher rank -deformed Bannai-Ito and Askey-Wilson algebra
Hendrik De Bie, Hadewijch De Clercq, Wouter van de Vijver
The -deformed Bannai-Ito algebra was recently constructed in the threefold tensor product of the quantum superalgebra . It turned out to be isomorphi…