Bannai-Ito algebras and the universal R-matrix of osp(1|2)

Nicolas Crampe, Luc Vinet, Meri Zaimi

The Bannai-Ito algebra $BI(n)$ is viewed as the centralizer of the action of $\mathfrak{osp}(1|2)$ in the $n$-fold tensor product of the universal algebra of this Lie superalgebra.…