Bannai-Ito polynomials and dressing chains
Mathematical Physics
2013-01-09 v2 Classical Analysis and ODEs
math.MP
Rings and Algebras
Abstract
Schur-Delsarte-Genin (SDG) maps and Bannai-Ito polynomials are studied. SDG maps are related to dressing chains determined by quadratic algebras. The Bannai-Ito polynomials and their kernel polynomials -- the complementary Bannai-Ito polynomials -- are shown to arise in the framework of the SDG maps.
Cite
@article{arxiv.1211.1963,
title = {Bannai-Ito polynomials and dressing chains},
author = {Maxim Derevyagin and Satoshi Tsujimoto and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1211.1963},
year = {2013}
}
Comments
15 pages; Section 2 is slightly modified and a few typos are corrected