The Bannai-Ito algebra and some applications

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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Bibliographic Details
Published in:Journal of physics. Conference series 2015-04, Vol.597 (1), p.12001
Main Authors: De Bie, Hendrik, Genest, Vincent X, Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei
Format: Article
Language:English
Subjects:
Algebra
Physics
Polynomials
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/597/1/012001