The Bannai-Ito algebra and some applications

Hendrik De Bie; Vincent X. Genest; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

doi:10.1088/1742-6596/597/1/012001

The Bannai-Ito algebra and some applications

Mathematical Physics 2015-06-23 v2 math.MP

Authors: Hendrik De Bie , Vincent X. Genest , Satoshi Tsujimoto , Luc Vinet , Alexei Zhedanov

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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 $sl_{-1}(2)$ algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere are surveyed.

Keywords

lie algebras and representations

Cite

@article{arxiv.1411.3913,
  title  = {The Bannai-Ito algebra and some applications},
  author = {Hendrik De Bie and Vincent X. Genest and Satoshi Tsujimoto and Luc Vinet and Alexei Zhedanov},
  journal= {arXiv preprint arXiv:1411.3913},
  year   = {2015}
}

Comments

Proceedings of Group30, Ghent, July 2014. Based on plenary talk given by Luc Vinet at this conference

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