Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
We prove that the categories of Gelfand-Zeitlin modules of g=gln and Whittaker modules associated with a semi-simple complex finite-dimensional algebra g are extension full in the category of all g-modules. This is used to estimate and in some cases determine the global dimension of blocks of the ca...
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| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2015
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146993 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules / K. Coulembier, V. Mazorchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ. |
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irk-123456789-1469932019-02-13T01:23:33Z Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules Coulembier, K. Mazorchuk, V. We prove that the categories of Gelfand-Zeitlin modules of g=gln and Whittaker modules associated with a semi-simple complex finite-dimensional algebra g are extension full in the category of all g-modules. This is used to estimate and in some cases determine the global dimension of blocks of the categories of Gelfand-Zeitlin and Whittaker modules. 2015 Article Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules / K. Coulembier, V. Mazorchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 16E30; 17B10 DOI:10.3842/SIGMA.2015.016 http://dspace.nbuv.gov.ua/handle/123456789/146993 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We prove that the categories of Gelfand-Zeitlin modules of g=gln and Whittaker modules associated with a semi-simple complex finite-dimensional algebra g are extension full in the category of all g-modules. This is used to estimate and in some cases determine the global dimension of blocks of the categories of Gelfand-Zeitlin and Whittaker modules. |
| format |
Article |
| author |
Coulembier, K. Mazorchuk, V. |
| spellingShingle |
Coulembier, K. Mazorchuk, V. Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Coulembier, K. Mazorchuk, V. |
| author_sort |
Coulembier, K. |
| title |
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules |
| title_short |
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules |
| title_full |
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules |
| title_fullStr |
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules |
| title_full_unstemmed |
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules |
| title_sort |
extension fullness of the categories of gelfand-zeitlin and whittaker modules |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146993 |
| citation_txt |
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules / K. Coulembier, V. Mazorchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT coulembierk extensionfullnessofthecategoriesofgelfandzeitlinandwhittakermodules AT mazorchukv extensionfullnessofthecategoriesofgelfandzeitlinandwhittakermodules |
| first_indexed |
2025-07-11T01:06:51Z |
| last_indexed |
2025-07-11T01:06:51Z |
| _version_ |
1837310685782999040 |