A unified formula for Steenrod operations in flag manifolds

被引：8

作者：

Duan, Haibao ^{[1
]}

Zhao, Xuezhi

机构：

[1] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China

[2] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

来源：

COMPOSITIO MATHEMATICA | 2007年 / 143卷 / 01期

关键词：

Steenrod operations; flag manifolds; Schubert cells; Cartan numbers;

D O I：

10.1112/S0010437X06002405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical Schubert cells on a flag manifold G/P give a cell decomposition for G/P whose Kronecker duals (known as Schubert classes) form an additive base for the integral cohomology H*(G/P). We present a formula that expresses Steenrod mod-p operations oil Schubert classes in G/P in terms of Cartan numbers of G.

引用

页码：257 / 270

页数：14

共 32 条

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