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
Автор: Naoi, K.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2014
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection 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
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