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arXiv · 1007.4431

Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials

Maryna Nesterenko·Jiri Patera·Marzena Szajewska·Agnieszka Tereszkiewicz
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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.

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Maryna Nesterenko, Jiri Patera, Marzena Szajewska, Agnieszka Tereszkiewicz. 2010-07-26. Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials. https://doi.org/10.1088/1751-8113/43/49/495207

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