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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Дата: | 2014 |
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Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2014
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146688 |
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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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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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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
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 |
2025-07-11T00:25:56Z |
last_indexed |
2025-07-11T00:25:56Z |
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1837308111817277440 |