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Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
 
Creator Coulembier, K.
Mazorchuk, V.
 
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.
 
Date 2019-02-12T18:05:03Z
2019-02-12T18:05:03Z
2015
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України