Semi-infinite Plücker Relations and Weyl Modules

Semi-infinite Plücker Relations and Weyl Modules
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半无限 Plücker 关系和 Weyl 模

DOI:
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发表时间:
2017
影响因子:
1
通讯作者:
I. Makedonskyi
I. Makedonskyi
中科院分区:
数学1区
文献类型:
--
作者:
E. Feigin;I. Makedonskyi

文献摘要

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本文的目的是双重的。首先,我们写下半无限Plücker关系,描述了A型半无限旗簇的Drinfeld-Plücker嵌入。其次,我们研究了齐次坐标环,即由半无限Plücker关系生成的理想的商。建立了对偶整体Weyl模代数的同构关系,并得到了一个新的特征公式。
The goal of this paper is two-fold. First, we write down the semi-infinite Plücker relations, describing the Drinfeld–Plücker embedding of the (formal version of) semi-infinite flag varieties in type A. Second, we study the homogeneous coordinate ring, that is, the quotient by the ideal generated by the semi-infinite Plücker relations. We establish the isomorphism with the algebra of dual global Weyl modules and derive a new character formula.