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

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dc.contributor.authorCoulembier, K.
dc.contributor.authorMazorchuk, V.
dc.date.accessioned2019-02-12T18:05:03Z
dc.date.available2019-02-12T18:05:03Z
dc.date.issued2015
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipThis 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. KC is a Postdoctoral Fellow of the Research Foundation – Flanders (FWO). VM is partially supported by the Swedish Research Council. A substantial part of this work was done during the visit of the authors to the CRM Thematic Semester “New Directions in Lie Theory” in Montreal. We thank CRM for hospitality and partial support. We thank the referees for helpful comments.uk_UA
dc.identifier.citationExtension 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 16E30; 17B10
dc.identifier.otherDOI:10.3842/SIGMA.2015.016
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146993
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleExtension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modulesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік