The fundamental group of a real flag manifold

DOI10.1016/S0019-3577(97)87572-6zbMath0921.22011MaRDI QIDQ1279774

Mark Wiggerman

Publication date: 26 September 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

flag manifoldfundamental groupparabolic subgroupBruhat decompositionreal connected semisimple Lie group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items

Invariant Einstein metrics on real flag manifolds with two or three isotropy summands ⋮ The action of intertwining operators on spherical vectors in the minimal principal series of a reductive symmetric space ⋮ A method to find generators of a semi-simple Lie group via the topology of its flag manifolds ⋮ Fundamental groups of split real Kac-Moody groups and generalized real flag manifolds ⋮ Orientability of vector bundles over real flag manifolds ⋮ Cellular homology of real maximal isotropic Grassmannians ⋮ A correspondence between boundary coefficients of real flag manifolds and height of roots ⋮ On the topology of minimal orbits in complex flag manifolds ⋮ On index number and topology of flag manifolds ⋮ Cellular homology of real flag manifolds ⋮ De Rham 2-cohomology of real flag manifolds

Cites Work

• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Harmonic analysis on real reductive groups
• Integral homology of real flag manifolds and loop spaces of symmetric spaces
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