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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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
id nasplib_isofts_kiev_ua-123456789-152244
record_format dspace
spelling Ramirez, L.E.
2019-06-09T06:11:38Z
2019-06-09T06:11:38Z
2012
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.
1726-3255
2010 MSC:17B35, 17B37, 17B67, 16D60, 16D90, 16D70, 81R10.
https://nasplib.isofts.kiev.ua/handle/123456789/152244
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.
The author is supported by the CNPq grant (processo 142407/2009-7). I would like to thank Vyacheslav Futorny for stimulating discussions and patience during the preparation of this paper. Also I would like thank Volodymyr Mazorchuk for his attention and helpful suggestions.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
spellingShingle Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
Ramirez, L.E.
title_short Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
title_full Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
title_fullStr Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
title_full_unstemmed Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
title_sort combinatorics of irreducible gelfand-tsetlin sl(3)-modules
author Ramirez, L.E.
author_facet Ramirez, L.E.
publishDate 2012
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description 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
url https://nasplib.isofts.kiev.ua/handle/123456789/152244
citation_txt 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.
work_keys_str_mv AT ramirezle combinatoricsofirreduciblegelfandtsetlinsl3modules
first_indexed 2025-12-07T16:29:56Z
last_indexed 2025-12-07T16:29:56Z
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