Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-25T05:27:06.246Z Has data issue: false hasContentIssue false
  • English
  • Français

A unified formula for Steenrod operations in flag manifolds

Published online by Cambridge University Press:  19 January 2007

Haibao Duan  and
Xuezhi Zhao
Haibao Duan
Affiliation:
Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, People's Republic of [email protected]
Xuezhi Zhao
Affiliation:
Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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 $H^{\ast}(G/P)$. We present a formula that expresses Steenrod mod-$p$ operations on Schubert classes in $G/P$ in terms of Cartan numbers of $G$.

Keywords

Steenrod operationsflag manifoldsSchubert cellsCartan numbers55S1014M1014M15
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 1 , January 2007 , pp. 257 - 270
Copyright
Foundation Compositio Mathematica 2007