论文标题

从Weyl群的家庭到Springer表示

From families in Weyl groups to Springer representations

论文作者

Lusztig, G.

论文摘要

令G为复数上的简单还原组。让W为G的Weyl群。我们通过纯粹的代数方法对W与g的各种单位类别相关的springer表示的描述进行描述,该方法涉及W的各种反射亚组的家族,并且适合计算机计算。

Let G be a simple reductive group over the complex numbers. Let W be the Weyl group of G. We propose a description of the Springer representations of W associated to various unipotent classes of G by a purely algebraic method involving the families of various reflection subgroups of W and which is suitable to computer calculations.

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