Bannai–Ito algebras and the osp(1;2) superalgebra

Hendrik De Bie (), Vincent X. Genest (), Wouter van de Vijver () and Luc Vinet ()
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Hendrik De Bie: Ghent University, Department of Mathematical Analysis, Faculty of Engineering and Architecture
Vincent X. Genest: Masschusetts Institute of Technology, Department of Mathematics
Wouter van de Vijver: Ghent University, Department of Mathematical Analysis, Faculty of Engineering and Architecture
Luc Vinet: Université de Montréal, Centre de Recherches Mathématiques

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 349-354 from Springer

Abstract: 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.

Date: 2017
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DOI: 10.1007/978-3-319-69164-0_52

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