Schubert presentation of the cohomology ring of flag manifolds

DOI10.1112/S1461157015000133zbMath1330.57049arXiv0801.2444MaRDI QIDQ2942131

Xuezhi Zhao, Hai Bao Duan

Publication date: 26 August 2015

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2444

zbMATH Keywords

cohomologyLie groupsflag manifoldsSchubert classesSchubert presentation

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Classical problems, Schubert calculus (14N15) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

Nestings of rational homogeneous varieties, Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces, On the number of simplices required to triangulate a Lie group, On Schubert’s Problem of Characteristics, Weyl group covers for Brieskorn's resolutions in all characteristics and the integral cohomology of \(G/P\), Effective algorithms for computing triangular operator in Schubert calculus, Twisted quadratic foldings of root systems

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