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Schubert presentation of the cohomology ring of flag manifolds $G/T$

Part of: Special varieties Homology and homotopy of topological groups and related structures

Published online by Cambridge University Press:  01 August 2015

Haibao Duan  and
Xuezhi Zhao
Haibao Duan
Affiliation:
Institute of Mathematics, Chinese Academy of Sciences, Beijing 100190, PR China email dhb@math.ac.cn
Xuezhi Zhao
Affiliation:
Department of Mathematics, Capital Normal University, Beijing 100048, PR China email zhaoxve@mail.cnu.edu.cn

Abstract

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Let $G$ be a compact connected Lie group with a maximal torus $T$. In the context of Schubert calculus we present the integral cohomology $H^{\ast }(G/T)$ by a minimal system of generators and relations.

MSC classification

Primary: 14M15: Grassmannians, Schubert varieties, flag manifolds
Secondary: 57T15: Homology and cohomology of homogeneous spaces of Lie groups
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 18 , Issue 1 , 2015 , pp. 489 - 506
Copyright
© The Author(s) 2015 

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