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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2014 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | 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 |
| Цитувати: | 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Graded Limits of Minimal Affinizations in Type D |
| spellingShingle |
Graded Limits of Minimal Affinizations in Type D Naoi, K. |
| title_short |
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_sort |
graded limits of minimal affinizations in type d |
| author |
Naoi, K. |
| author_facet |
Naoi, K. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146688 |
| 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. |
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2025-12-07T18:51:39Z |
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2025-12-07T18:51:39Z |
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