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Graded Limits of Minimal Affinizations in Type $D$
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Katsuyuki Naoi},
     title = {Graded {Limits} of {Minimal} {Affinizations} in {Type} $D$},
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}
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Katsuyuki Naoi. Graded Limits of Minimal Affinizations in Type $D$. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a46/

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