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Strata of a disconnected reductive group
Indagationes Mathematicae ( IF 0.5 ) Pub Date : 2020-10-10 , DOI: 10.1016/j.indag.2020.09.011
G. Lusztig

Let D be a fixed connected component of a reductive algebraic group over an algebraically closed field. We use a variant of the Springer representation to define and study a partition of D into finitely many Strata, one of which is the open set of regular elements. We show that the Strata of D are indexed by a set defined purely in terms of the Weyl group and its automorphism defined by D.



中文翻译:

不连贯还原群的层

D是代数闭域上还原代数群的固定连通分量。我们使用 Springer 表示的变体来定义和研究D成有限多个层,其中之一是规则元素的开集。我们表明,地层D 由一个纯粹根据 Weyl 群定义的集合及其自同构定义为索引 D.

更新日期:2020-10-10
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