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. 
Hendrik De Bie, Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet and   Alexei Zhedanov
math-ph math.MP