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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
中文翻译:
不连贯还原群的层
更新日期:2020-10-10
Indagationes Mathematicae ( IF 0.5 ) Pub Date : 2020-10-10 , DOI: 10.1016/j.indag.2020.09.011 G. Lusztig
Let 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 into finitely many Strata, one of which is the open set of regular elements. We show that the Strata of are indexed by a set defined purely in terms of the Weyl group and its automorphism defined by .
中文翻译:
不连贯还原群的层
让 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成有限多个层,其中之一是规则元素的开集。我们表明,地层 由一个纯粹根据 Weyl 群定义的集合及其自同构定义为索引 .