施普林格纤维的总正性

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

摘要

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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Total Positivity in Springer Fibres

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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来源期刊

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

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.