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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 047, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.047 (Mi sigma912) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Graded Limits of Minimal Affinizations in Type $D$

Katsuyuki Naoi

Institute of Engineering, Tokyo University of Agriculture and Technology, 3-8-1 Harumi-cho, Fuchu-shi, Tokyo, Japan
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DOI: https://doi.org/10.3842/SIGMA.2014.047
Abstract: 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.
Keywords: minimal affinizations; quantum affine algebras; current algebras.
Received: October 30, 2013; in final form April 14, 2014; Published online April 20, 2014
Bibliographic databases:
Document Type: Article
MSC: 17B37; 17B10
Language: English
Citation: Katsuyuki Naoi, “Graded Limits of Minimal Affinizations in Type $D$”, SIGMA, 10 (2014), 047, 20 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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