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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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2011
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | 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 |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
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