Graded Limits of Minimal Affinizations in Type D
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 m...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146688 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Graded Limits of Minimal Affinizations in Type D / K. Naoi // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725218118664192 |
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| author | Naoi, K. |
| author_facet | Naoi, K. |
| citation_txt | Graded Limits of Minimal Affinizations in Type D / K. Naoi // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T18:51:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146688 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:51:39Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
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| spelling | Naoi, K. 2019-02-10T18:52:29Z 2019-02-10T18:52:29Z 2014 Graded Limits of Minimal Affinizations in Type D / K. Naoi // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 17B10 DOI:10.3842/SIGMA.2014.047 https://nasplib.isofts.kiev.ua/handle/123456789/146688 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Graded Limits of Minimal Affinizations in Type D Article published earlier |
| spellingShingle | Graded Limits of Minimal Affinizations in Type D Naoi, K. |
| title | Graded Limits of Minimal Affinizations in Type D |
| title_full | Graded Limits of Minimal Affinizations in Type D |
| title_fullStr | Graded Limits of Minimal Affinizations in Type D |
| title_full_unstemmed | Graded Limits of Minimal Affinizations in Type D |
| title_short | Graded Limits of Minimal Affinizations in Type D |
| title_sort | graded limits of minimal affinizations in type d |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146688 |
| work_keys_str_mv | AT naoik gradedlimitsofminimalaffinizationsintyped |