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