The bannai-ito algebra and some applications

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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-11(2) algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere are surveyed.

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De Bie, H., Genest, V. X., Tsujimoto, S., Vinet, L., & Zhedanov, A. (2015). The bannai-ito algebra and some applications. In Journal of Physics: Conference Series (Vol. 597). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/597/1/012001

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