Demazure modules and graded limits of minimal affinizations
Demazure modules and graded limits of minimal affinizations
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DOI：
10.1090/s1088-4165-2013-00442-9
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发表时间：
2012-09
期刊：
影响因子：
--
通讯作者：
Katsuyuki Naoi
中科院分区：
文献类型：
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作者：
Katsuyuki Naoi
对于BC型量子环代数上的最小仿射，我们给出了用Demazure算子表示的特征公式和用晶体基表示的多重性。我们还提供了一个简单的字符限制公式。通过验证其阶极限（经典极限的一种变体）与Demazure模的某些多重泛化同构，并通过确定阶极限的定义关系来实现。
For a minimal affinization over a quantum loop algebra of type BC, we provide a character formula in terms of Demazure operators and multiplicities in terms of crystal bases. We also provide a simple formula for the limit of characters. These are achieved by verifying that its graded limit (a variant of a classical limit) is isomorphic to some multiple generalization of a Demazure module, and by determining the defining relations of the graded limit.