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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2014 Volume 10, 047, 20 pp. (Mi sigma912)

This article is cited 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

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.

MSC: 17B37; 17B10

Received: October 30, 2013; in final form April 14, 2014; Published online April 20, 2014

Language: English

DOI: 10.3842/SIGMA.2014.047



Bibliographic databases:
ArXiv: 1310.5321


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