DJKM algebras and non-classical orthogonal polynomials
Classical Analysis and ODEs
2014-09-09 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
We describe families of polynomials arising in the study of the universal central extensions of Lie algebras introduced by Date, Jimbo, Kashiwara, and Miwa in their work on the Landau-Lifshitz equations. Two of the families of polynomials we show satisfy certain forth order linear differential equations, are orthogonal and are not of classical type.
Keywords
Cite
@article{arxiv.1210.2129,
title = {DJKM algebras and non-classical orthogonal polynomials},
author = {Ben Cox and Vyacheslav Futorny and Juan A. Tirao},
journal= {arXiv preprint arXiv:1210.2129},
year = {2014}
}
Comments
typos fixed, additional remarks and references added