A correspondence between boundary coefficients of real flag manifolds and height of roots

zbMath1485.57031arXiv2009.05114MaRDI QIDQ5065106

Jordan Lambert, Lonardo Rabelo

Publication date: 18 March 2022

Full work available at URL: https://arxiv.org/abs/2009.05114

zbMATH Keywords

homologysymmetric grouproot systemsboundary coefficientsSchubert cellsreal flag manifoldsheight of roots

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Grassmannians, Schubert varieties, flag manifolds (14M15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Root systems (17B22)

Uses Software

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Cites Work

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• Orientability of vector bundles over real flag manifolds
• On the cohomology rings of real flag manifolds: Schubert cycles
• The fundamental group of a real flag manifold
• Schubert cells and representation theory
• Cellular homology of real maximal isotropic Grassmannians
• Integral homology of real flag manifolds and loop spaces of symmetric spaces
• Integral homology of real isotropic and odd orthogonal Grassmannians
• Second homotopy group and invariant geometry of flag manifolds
• Cellular homology of real flag manifolds
• De Rham 2-cohomology of real flag manifolds
• Combinatorics of Coxeter Groups
• On the distinguished coset representatives of the parabolic subgroups in finite coxeter groups
• Covering relations of k-Grassmannian permutations of type B
• Inversion tables and minimal left coset representatives for Weyl groups of classical type

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