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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 018, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.018 (Mi sigma999) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Irreducible Generic Gelfand–Tsetlin Modules of $\mathfrak{gl}(n)$

Vyacheslav Futornya, Dimitar Grantcharovb, Luis Enrique Ramireza

a Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo SP, Brasil
b Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA
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DOI: https://doi.org/10.3842/SIGMA.2015.018
Abstract: We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand–Tsetlin modules for the Lie algebra $\mathfrak{gl}(n)$.
Keywords: Gelfand–Tsetlin modules; Gelfand–Tsetlin basis; tableaux realization.
Received: October 1, 2014; in final form February 24, 2015; Published online February 28, 2015
Bibliographic databases:
Document Type: Article
MSC: 17B67
Language: English
Citation: Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez, “Irreducible Generic Gelfand–Tsetlin Modules of $\mathfrak{gl}(n)$”, SIGMA, 11 (2015), 018, 13 pp.
Citation in format AMSBIB
\Bibitem{FutGraRam15}
\by Vyacheslav~Futorny, Dimitar~Grantcharov, Luis~Enrique~Ramirez
\paper Irreducible Generic Gelfand--Tsetlin Modules of $\mathfrak{gl}(n)$
\jour SIGMA
\yr 2015
\vol 11
\papernumber 018
\totalpages 13
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\crossref{https://doi.org/10.3842/SIGMA.2015.018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3322336}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350561800001}
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    • This publication is cited in the following 22 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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