2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.RT2020
The Racah algebra: An overview and recent results
Hendrik De Bie, Plamen Iliev, Wouter van de Vijver +1
Recent results on the Racah algebra of rank are reviewed. is defined in terms of generators and relations and sits in the centralizer of the…
math.RT2016★ 2 cited
Bannai-Ito algebras and the superalgebra
Hendrik De Bie, Vincent X. Genest, Wouter van de Vijver +1
The Bannai-Ito algebra of rank is defined as the algebra generated by the Casimir operators arising in the -fold tensor product of the superalgebra. Th…
math-ph2016
A higher rank Racah algebra and the Laplace-Dunkl operator
Hendrik De Bie, Vincent X. Genest, Wouter van de Vijver +1
A higher rank generalization of the (rank one) Racah algebra is obtained as the symmetry algebra of the Laplace-Dunkl operator associated to the root system. This…