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arXiv · 1610.04797

Bannai-Ito algebras and the $osp(1,2)$ superalgebra

Hendrik De Bie·Vincent X. Genest·Wouter van de Vijver·Luc Vinet
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Abstract

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.

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BibTeXRIS

Hendrik De Bie, Vincent X. Genest, Wouter van de Vijver, Luc Vinet. 2016-10-15. Bannai-Ito algebras and the $osp(1,2)$ superalgebra. https://arxiv.org/abs/1610.04797

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