Graded Limits of Minimal Affinizations in Type D

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.

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Cited by in corpus (5)

• M-systems and Cluster algebras
• Graded limits of minimal affinizations over the quantum loop algebra of type $G_2$
• Jacobi-Trudi determinants and characters of minimal affinizations
• On the minimal affinizations of type $F_4$
• Non-Minimality of Certain Irregular Coherent Preminimal Affinizations