Graded Limits of Minimal Affinizations in Type D
Graded Limits of Minimal Affinizations in Type D
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DOI：
10.3842/sigma.2014.047
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发表时间：
2013-10
影响因子：
0.9
通讯作者：
Katsuyuki Naoi
中科院分区：
文献类型：
--
作者：
Katsuyuki Naoi
研究了正则情形下D型量子圈代数上极小仿射化的分次极限。证明了分次极限同构于Demazure模的多重推广，并给出了它们的定义关系。作为推论，我们得到了用Demazure算子表示的极小仿射的特征公式，以及一类特殊的极小仿射的重数公式。
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.