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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2015 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146991 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862605698105344000 |
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| author | Futorny, V. Grantcharov, D. Ramirez, L.E. |
| author_facet | Futorny, V. Grantcharov, D. Ramirez, L.E. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).
|
| first_indexed | 2025-11-28T11:05:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146991 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T11:05:43Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| 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 |
| spellingShingle | Irreducible Generic Gelfand-Tsetlin Modules of gl(n) Futorny, V. Grantcharov, D. Ramirez, L.E. |
| title | 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_short | Irreducible Generic Gelfand-Tsetlin Modules of gl(n) |
| title_sort | irreducible generic gelfand-tsetlin modules of gl(n) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146991 |
| work_keys_str_mv | AT futornyv irreduciblegenericgelfandtsetlinmodulesofgln AT grantcharovd irreduciblegenericgelfandtsetlinmodulesofgln AT ramirezle irreduciblegenericgelfandtsetlinmodulesofgln |