Bannai-Ito algebras and the $osp(1,2)$ superalgebra
  The Bannai-Ito algebra $B(n)$ of rank $(n-2)$ is defined as the algebra generated by the Casimir operators arising in the $n$-fold tensor product of the $osp(1,2)$ superalgebra. The structure relations are presented and representations in bases determined by maximal Abelian subalgebras are discussed. Comments on realizations as symmetry algebras of physical models are offered. 
Hendrik De Bie, Vincent X. Genest, Wouter van de Vijver, Luc Vinet
math.RT math.QA