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Algebra and Discrete Mathematics, 2012, Volume 14, Issue 2, Pages 276–296 (Mi adm99)  
This article is cited in 7 scientific papers (total in 7 papers)

RESEARCH ARTICLE

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

Luis Enrique Ramirez

Institute of Mathematics and Statistics, University of Sao Paulo, Sao Paulo, Brazil
Full-text PDF (232 kB) Citations (7)
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Abstract: 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.
Keywords: Gelfand–Tsetlin modules, weight modules, Gelfand–Tsetlin basis.
Received: 14.02.2012
Accepted: 14.02.2012
Bibliographic databases:
Document Type: Article
MSC: 17B35, 17B37, 17B67, 16D60, 16D90, 16D70, 81R10
Language: English
Citation: Luis Enrique Ramirez, “Combinatorics of irreducible Gelfand–Tsetlin $sl(3)$-modules”, Algebra Discrete Math., 14:2 (2012), 276–296
Citation in format AMSBIB
\Bibitem{Ram12}
\by Luis~Enrique~Ramirez
\paper Combinatorics of irreducible Gelfand--Tsetlin $sl(3)$-modules
\jour Algebra Discrete Math.
\yr 2012
\vol 14
\issue 2
\pages 276--296
\mathnet{http://mi.mathnet.ru/adm99}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099975}
\zmath{https://zbmath.org/?q=an:06248781}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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