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Algebra and Discrete Mathematics, 2011, Volume 12, Issue 1, Pages 69–115 (Mi adm58)  

This article is cited in 8 scientific papers (total in 8 papers)

RESEARCH ARTICLE

Graded limits of minimal affinizations and beyond: the multiplicity free case for type $E_6$

Adriano Moura, Fernanda Pereira

Departamento de Matemática, Universidade Estadual de Campinas, Campinas - SP - Brazil, 13083-859
Full-text PDF (508 kB) Citations (8)
References:
Abstract: We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type $E_6$. 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.
Keywords: minimal affinizations of quantum groups, character formulae, affine Kac-Moody algebras.
Received: 20.08.2011
Revised: 02.10.2011
Bibliographic databases:
Document Type: Article
MSC: 17B10, 17B70, 20G42
Language: English
Citation: Adriano Moura, Fernanda Pereira, “Graded limits of minimal affinizations and beyond: the multiplicity free case for type $E_6$”, Algebra Discrete Math., 12:1 (2011), 69–115
Citation in format AMSBIB
\Bibitem{MouPer11}
\by Adriano Moura, Fernanda Pereira
\paper Graded limits of minimal affinizations and beyond: the multiplicity free case for type~$E_6$
\jour Algebra Discrete Math.
\yr 2011
\vol 12
\issue 1
\pages 69--115
\mathnet{http://mi.mathnet.ru/adm58}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2896463}
\zmath{https://zbmath.org/?q=an:06120590}
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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