Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials
Representation Theory
2011-07-20 v2 Classical Analysis and ODEs
Abstract
Polynomials in this paper are defined starting from a compact semisimple Lie group. A known classification of maximal, semisimple subgroups of simple Lie groups is used to select the cases to be considered here. A general method is presented and all the cases of rank not greater then 3 are explicitly studied. We derive the polynomials of simple Lie groups B_3 and C_3 as they are not available elsewhere. The results point to far reaching Lie theoretical connections to the theory of multivariable orthogonal polynomials.
Cite
@article{arxiv.1007.4431,
title = {Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials},
author = {Maryna Nesterenko and Jiri Patera and Marzena Szajewska and Agnieszka Tereszkiewicz},
journal= {arXiv preprint arXiv:1007.4431},
year = {2011}
}
Comments
28 pages, 7 figures, 8 tables