Bannai-Ito algebras and the $osp(1,2)$ superalgebra
Representation Theory
2016-12-06 v2 Quantum Algebra
Abstract
The Bannai-Ito algebra of rank is defined as the algebra generated by the Casimir operators arising in the -fold tensor product of the superalgebra. The structure relations are presented and representations in bases determined by maximal Abelian subalgebras are discussed. Comments on realizations as symmetry algebras of physical models are offered.
Keywords
Cite
@article{arxiv.1610.04797,
title = {Bannai-Ito algebras and the $osp(1,2)$ superalgebra},
author = {Hendrik De Bie and Vincent X. Genest and Wouter van de Vijver and Luc Vinet},
journal= {arXiv preprint arXiv:1610.04797},
year = {2016}
}
Comments
Contribution to the proceedings of Group 31, Rio de Janeiro, June 2016; based on a talk by Luc Vinet at this conference; slightly revised version