20 citations · 41 across the 3 of their papers we have counts for
3 papers
math-ph2017★ 3 cited
and generalized Bannai-Ito algebras
vincent X. Genest, Luc Lapointe, Luc Vinet
Generalizations of the (rank 1) Bannai-Ito algebra are obtained from a refinement of the grade involution of the Lie super algebra . A hyperoctahedral extensio…
math-ph2015★ 20 cited
Embeddings of the Racah Algebra into the Bannai-Ito Algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Embeddings of the Racah algebra into the Bannai-Ito algebra are proposed in two realizations. First, quadratic combinations of the Bannai-Ito algebra generators in their standard r…
math-ph2012★ 18 cited
The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl_{-1}(2)
Vincent X Genest, Luc Vinet, Alexei Zhedanov
The algebra H of the dual -1 Hahn polynomials is derived and shown to arise in the Clebsch-Gordan problem of sl_{-1}(2). The dual -1 Hahn polynomials are the bispectral polynomials…