Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules

In this paper we present an explicit description of all irreducible sl(3)-modules which admit a Gelfand-Tsetlin tableaux realization with respect to the standard Gelfand-Tsetlin subalgebra.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2012
Main Author: Ramirez, L.E.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152244
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules / L.E. Ramirez // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 276–296. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:In this paper we present an explicit description of all irreducible sl(3)-modules which admit a Gelfand-Tsetlin tableaux realization with respect to the standard Gelfand-Tsetlin subalgebra.
ISSN:1726-3255