The Bannai-Ito algebra and some applications
arXiv:1411.3913 · doi:10.1088/1742-6596/597/1/012001
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.
Proceedings of Group30, Ghent, July 2014. Based on plenary talk given by Luc Vinet at this conference