Total Positivity in Springer Fibres

IF 0.6 4区 数学 Q3 MATHEMATICS Quarterly Journal of Mathematics Pub Date : 2020-12-01 DOI:10.1093/qmathj/haaa021
G Lusztig
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引用次数: 6

Abstract

Let u be a unipotent element in the totally positive part of a complex reductive group. We consider the intersection of the Springer fibre at u with the totally positive part of the flag manifold. We show that this intersection has a natural cell decomposition which is part of the cell decomposition (Rietsch) of the totally positive flag manifold.
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施普林格纤维的总正性
设u是复还原基的全正部分中的一个单势元素。我们考虑u处的斯普林格纤维与旗流形的完全正部分的交点。我们证明了这个交集有一个自然的单元分解,它是全正标志流形的单元分解(Rietsch)的一部分。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
36
审稿时长
6-12 weeks
期刊介绍: The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.
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