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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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Інститут математики НАН України
2014
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146688 |
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irk-123456789-1466882019-02-11T01:24:31Z Graded Limits of Minimal Affinizations in Type D Naoi, K. 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. 2014 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146688 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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| language |
English |
| 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. |
| format |
Article |
| author |
Naoi, K. |
| spellingShingle |
Naoi, K. Graded Limits of Minimal Affinizations in Type D Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Naoi, K. |
| author_sort |
Naoi, K. |
| title |
Graded Limits of Minimal Affinizations in Type D |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT naoik gradedlimitsofminimalaffinizationsintyped |
| first_indexed |
2023-05-20T17:25:25Z |
| last_indexed |
2023-05-20T17:25:25Z |
| _version_ |
1796153260956975104 |