Inversion arrangements and Bruhat intervals

DOI10.1016/j.jcta.2011.04.005zbMath1236.05204arXiv1010.0515OpenAlexW1970880176MaRDI QIDQ549239

Axel Hultman

Publication date: 7 July 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0515

zbMATH Keywords

Weyl groupSchubert varietyCoxeter groupBruhat graphBruhat intervalinversion arrangement

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (4)

Hultman elements for the hyperoctahedral groups ⋮ Rationally smooth Schubert varieties and inversion hyperplane arrangements ⋮ Combinatorics of diagrams of permutations ⋮ Smoothness of Schubert varieties indexed by involutions in finite simply laced types

Cites Work

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• Bruhat order, smooth Schubert varieties, and hyperplane arrangements
• From Bruhat intervals to intersection lattices and a conjecture of Postnikov
• Singular loci of Schubert varieties
• Bruhat intervals as rooks on skew Ferrers boards
• Combinatorics of Coxeter Groups
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Cohomology of Smooth Schubert Varieties in Partial Flag Manifolds
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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