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Graded Limits of Minimal Affinizations in Type D
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Naoi, K. | |
| dc.date.accessioned | 2019-02-10T18:52:29Z | |
| dc.date.available | 2019-02-10T18:52:29Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Graded 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.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 17B37; 17B10 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.047 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146688 | |
| dc.description.abstract | We 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.sponsorship | 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. 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Graded Limits of Minimal Affinizations in Type D | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
