Graded Limits of Minimal Affinizations in Type D

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dc.contributor.authorNaoi, K.
dc.date.accessioned2019-02-10T18:52:29Z
dc.date.available2019-02-10T18:52:29Z
dc.date.issued2014
dc.description.abstractWe study the graded limits of minimal affinizations over a quantum loop algebra of type D in the regular case. We show that the graded limits are isomorphic to multiple generalizations of Demazure modules, and also give their defining relations. As a corollary we obtain a character formula for the minimal affinizations in terms of Demazure operators, and a multiplicity formula for a special class of the minimal affinizations.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. The author would like to thank Steven V. Sam for informing him of the results in [22]. This work was supported by JSPS Grant-in-Aid for Young Scientists (B) No. 25800006, and by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.uk_UA
dc.identifier.citationGraded Limits of Minimal Affinizations in Type D / K. Naoi // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B37; 17B10
dc.identifier.otherDOI:10.3842/SIGMA.2014.047
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146688
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleGraded Limits of Minimal Affinizations in Type Duk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік