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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.

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Correspondence to Hendrik De Bie .

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© 2017 Springer International Publishing AG

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De Bie, H., Genest, V.X., van de Vijver, W., Vinet, L. (2017). Bannai–Ito algebras and the osp(1;2) superalgebra. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham.

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