Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆
e obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E₆. For certain values of their highest weight, these modules were conjectured to be isomorphic to the classical limit of the corresponding minimal affinizations of the associated...
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| Дата: | 2011 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2011
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154775 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ / A. Moura, F. Pereira // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 69–115. — Бібліогр.: 24 назв. — англ. |
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irk-123456789-1547752019-09-01T11:38:37Z Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ Moura, A. Pereira, F. e obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E₆. For certain values of their highest weight, these modules were conjectured to be isomorphic to the classical limit of the corresponding minimal affinizations of the associated quantum group. We prove that this is the case under further restrictions on the highest weight. Under another set of conditions on the highest weight, Chari and Greenstein have recently proved that they are projective objects of a full subcategory of the category of graded modules for the current algebra. Our formula applies to all of these projective modules. 2011 Article Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ / A. Moura, F. Pereira // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 69–115. — Бібліогр.: 24 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:17B10, 17B70, 20G42. http://dspace.nbuv.gov.ua/handle/123456789/154775 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
e obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E₆. For certain values of their highest weight, these modules were conjectured to be isomorphic to the classical limit of the corresponding minimal affinizations of the associated quantum group. We prove that this is the case under further restrictions on the highest weight. Under another set of conditions on the highest weight, Chari and Greenstein have recently proved that they are projective objects of a full subcategory of the category of graded modules for the current algebra. Our formula applies to all of these projective modules. |
| format |
Article |
| author |
Moura, A. Pereira, F. |
| spellingShingle |
Moura, A. Pereira, F. Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ Algebra and Discrete Mathematics |
| author_facet |
Moura, A. Pereira, F. |
| author_sort |
Moura, A. |
| title |
Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ |
| title_short |
Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ |
| title_full |
Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ |
| title_fullStr |
Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ |
| title_full_unstemmed |
Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ |
| title_sort |
graded limits of minimal affinizations and beyond: the multiplicity free case for type e₆ |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154775 |
| citation_txt |
Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ / A. Moura, F. Pereira // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 69–115. — Бібліогр.: 24 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:45:21Z |
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2023-05-20T17:45:21Z |
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