On an approach for computing the generating functions of the characters of simple Lie algebras

We describe a general approach to obtain the generating functions of the characters of simple Lie algebras which is based on the theory of the quantum trigonometric Calogero-Sutherland model. We show how the method works in practice by means of a few examples involving some low rank classical algebr...

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Bibliographic Details
Published inarXiv.org
Main Authors J Fernández Núñez, W García Fuertes, Perelomov, A M
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.05.2014
Subjects
Algebra
Lie groups
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Summary:We describe a general approach to obtain the generating functions of the characters of simple Lie algebras which is based on the theory of the quantum trigonometric Calogero-Sutherland model. We show how the method works in practice by means of a few examples involving some low rank classical algebras.
ISSN:2331-8422
DOI:10.48550/arxiv.1304.7203