24 citations · 60 across the 5 of their papers we have counts for
5 papers
Howe duality and algebras of the Askey-Wilson type: an overview
Julien Gaboriaud, Luc Vinet, Stéphane Vinet
The Askey-Wilson algebra and its relatives such as the Racah and Bannai-Ito algebras were initially introduced in connection with the eponym orthogonal polynomials. They have since…
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…