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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| Datum: | 2018 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Назва журналу: | Algebra and Discrete Mathematics |
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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 |
| 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 |
2024-04-12T06:27:43Z |
| last_indexed |
2024-04-12T06:27:43Z |
| _version_ |
1796109252738154496 |