Irreducible Generic Gelfand-Tsetlin Modules of gl(n)

Irreducible Generic Gelfand-Tsetlin Modules of gl(n)

We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2015
Main Authors: Futorny, V., Grantcharov, D., Ramirez, L.E.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146991
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Irreducible Generic Gelfand-Tsetlin Modules of gl(n) / V. Futorny, D. Grantcharov, L.E. Ramirez // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-146991
record_format dspace
spelling Futorny, V.
Grantcharov, D.
Ramirez, L.E.
2019-02-12T18:02:46Z
2019-02-12T18:02:46Z
2015
Irreducible Generic Gelfand-Tsetlin Modules of gl(n) / V. Futorny, D. Grantcharov, L.E. Ramirez // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 17B67
DOI:10.3842/SIGMA.2015.018
https://nasplib.isofts.kiev.ua/handle/123456789/146991
We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).
This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is available at http://www.emis.de/journals/SIGMA/LieTheory2014.html. V.F. gratefully acknowledges the hospitality and excellent working conditions at the CRM, University of Montreal, where part of this work was completed. V.F. is supported in part by the CNPq grant (301320/2013-6) and by the Fapesp grant (2014/09310-5). D.G. is supported in part by the Fapesp grant (2011/21621-8) and by the NSA grant H98230-13-1-0245. L.E.R. is supported by the Fapesp grant (2012/23450-9).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
spellingShingle Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
Futorny, V.
Grantcharov, D.
Ramirez, L.E.
title_short Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
title_full Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
title_fullStr Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
title_full_unstemmed Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
title_sort irreducible generic gelfand-tsetlin modules of gl(n)
author Futorny, V.
Grantcharov, D.
Ramirez, L.E.
author_facet Futorny, V.
Grantcharov, D.
Ramirez, L.E.
publishDate 2015
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/146991
citation_txt Irreducible Generic Gelfand-Tsetlin Modules of gl(n) / V. Futorny, D. Grantcharov, L.E. Ramirez // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ.
work_keys_str_mv AT futornyv irreduciblegenericgelfandtsetlinmodulesofgln
AT grantcharovd irreduciblegenericgelfandtsetlinmodulesofgln
AT ramirezle irreduciblegenericgelfandtsetlinmodulesofgln
first_indexed 2025-11-28T11:05:43Z
last_indexed 2025-11-28T11:05:43Z
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