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The Bannai-Ito algebra and some applications

Published 14 Nov 2014 in math-ph and math.MP | (1411.3913v2)

Abstract: The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the $sl_{-1}(2)$ algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere are surveyed.

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