Covering relations of k-Grassmannian permutations of type B

zbMath1429.05005arXiv1803.03282MaRDI QIDQ5206910

Jordan Lambert, Lonardo Rabelo

Publication date: 19 December 2019

Full work available at URL: https://arxiv.org/abs/1803.03282

zbMATH Keywords

signed \(k\)-Grassmannians permutations

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (3)

A correspondence between boundary coefficients of real flag manifolds and height of roots ⋮ Integral homology of real isotropic and odd orthogonal Grassmannians ⋮ De Rham 2-cohomology of real flag manifolds

Cites Work

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• A Giambelli formula for isotropic Grassmannians
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Transition equations for isotropic flag manifolds.
• Cellular homology of real maximal isotropic Grassmannians
• Tight quotients and double quotients in the Bruhat order.
• Bruhat order on classical Weyl groups: minimal chains and covering relation.
• Pfaffian sum formula for the symplectic Grassmannians
• Combinatorics of Coxeter Groups
• Excited Young diagrams and equivariant Schubert calculus
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• Inversion tables and minimal left coset representatives for Weyl groups of classical type

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