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arXiv · 1310.5321

Graded Limits of Minimal Affinizations in Type D

Katsuyuki Naoi
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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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Katsuyuki Naoi. 2014-04-20. Graded Limits of Minimal Affinizations in Type D. https://doi.org/10.3842/sigma.2014.047

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