\mathfrak osp(1,2) and generalized Bannai-Ito algebras

2017/05/10 by vincent X. Genest, Luc Lapointe, Genest, vincent X. +3
Mathematics · Physics and Astronomy · #17A70 #20F55 #81R05 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:17A70 #msc:20F55 #msc:81R05

paper · pdf · doi:10.48550/arxiv.1705.03761

18 pages

arxiv created 2017/05/10 · arxiv updated 2017/05/11

Abstract

Generalizations of the (rank 1) Bannai-Ito algebra are obtained from a refinement of the grade involution of the Lie super algebra \mathfrakosp(1,2). A hyperoctahedral extension is derived by using a realization of \mathfrakosp(1,2) in terms of Dunkl operators associated to the Weyl group B₃.

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