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

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

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

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Bibliographic Details
Date:2018
Main Author: Ramirez, Luis Enrique
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Gelfand-Tsetlin modules
weight modules
Gelfand-Tsetlin basis
17B35
17B37
17B67
16D60
16D90
16D70
81R10
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/726
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-726
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7262018-04-04T10:03:23Z Combinatorics of irreducible Gelfand-Tsetlin \(sl(3)\)-modules Ramirez, Luis Enrique Gelfand-Tsetlin modules, weight modules, Gelfand-Tsetlin basis 17B35, 17B37, 17B67, 16D60, 16D90, 16D70, 81R10 In this paper we present an explicit description of all irreducible \(\mathfrak{sl}(3)\)-modules which admit a Gelfand-Tsetlin tableaux realization with respect to the standard Gelfand-Tsetlin subalgebra. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/726 Algebra and Discrete Mathematics; Vol 14, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/726/258 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T10:03:23Z
collection OJS
language English
topic Gelfand-Tsetlin modules
weight modules
Gelfand-Tsetlin basis
17B35
17B37
17B67
16D60
16D90
16D70
81R10
spellingShingle Gelfand-Tsetlin modules
weight modules
Gelfand-Tsetlin basis
17B35
17B37
17B67
16D60
16D90
16D70
81R10
Ramirez, Luis Enrique
Combinatorics of irreducible Gelfand-Tsetlin \(sl(3)\)-modules
topic_facet Gelfand-Tsetlin modules
weight modules
Gelfand-Tsetlin basis
17B35
17B37
17B67
16D60
16D90
16D70
81R10
format Article
author Ramirez, Luis Enrique
author_facet Ramirez, Luis Enrique
author_sort Ramirez, Luis Enrique
title Combinatorics of irreducible Gelfand-Tsetlin \(sl(3)\)-modules
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
description In this paper we present an explicit description of all irreducible \(\mathfrak{sl}(3)\)-modules which admit a Gelfand-Tsetlin tableaux realization with respect to the standard Gelfand-Tsetlin subalgebra.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/726
work_keys_str_mv AT ramirezluisenrique combinatoricsofirreduciblegelfandtsetlinsl3modules
first_indexed 2025-07-17T10:31:30Z
last_indexed 2025-07-17T10:31:30Z
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