Аннотация:
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.
Ключевые слова:minimal affinizations; quantum affine algebras; current algebras.