An embedding of the Bannai–Ito algebra in 𝒰(𝔬𝔰𝔭(1,2)) and -1 polynomials
Letters in Mathematical Physics（2018）
Abstract
n embedding of the Bannai–Ito algebra in the universal enveloping algebra of 𝔬𝔰𝔭(1,2) is provided. A connection with the characterization of the little -1 Jacobi polynomials is found in the holomorphic realization of 𝔬𝔰𝔭(1,2) . An integral expression for the Bannai–Ito polynomials is derived as a corollary.
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Key words
Bannai–Ito algebra,Quantum groups,Orthogonal polynomials,Integral representations
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