24 citations · 158 across the 23 of their papers we have counts for
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The Higgs and Hahn algebras from a Howe duality perspective
Luc Frappat, Julien Gaboriaud, Luc Vinet +2
The Hahn algebra encodes the bispectral properties of the eponymous orthogonal polynomials. In the discrete case, it is isomorphic to the polynomial algebra identified by Higgs as…
The dual pair , the Dirac equation and the Bannai-Ito algebra
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
The Bannai-Ito algebra can be defined as the centralizer of the coproduct embedding of in . It will be shown that it is also…
The generalized Racah algebra as a commutant
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
The Racah algebra of rank is obtained as the commutant of the \mbox{} subalgebra of in oscillator representations of t…
The Racah algebra as a commutant and Howe duality
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
The Racah algebra encodes the bispectrality of the eponym polynomials. It is known to be the symmetry algebra of the generic superintegrable model on the -sphere. It is further…