Combinatorial flag varieties

DOI10.1006/jcta.2000.3091zbMath0964.05019OpenAlexW1971599520MaRDI QIDQ1584651

R. Smith

Publication date: 6 February 2001

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

Full work available at URL: https://doi.org/10.1006/jcta.2000.3091

zbMATH Keywords

matroidsCoxeter matroidschamber complexescombinatorial flag varietyCoxeter metricsflag matroidsGaussian schemes

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (4)

On small world semiplanes with generalised Schubert cells ⋮ Flag matroids with coefficients ⋮ On small world non-Sunada twins and cellular Voronoi diagrams ⋮ Representations of matroids in semimodular lattices

Cites Work

• Combinatorial models for the finite-dimensional Grassmannians
• Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings
• The gallery distance of flags
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• Buildings of spherical type and finite BN-pairs
• Symplectic matroids
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• \(WP\)-matroids and thin Schubert cells on Tits systems
• Lagrangian matroids and cohomology
• On the topology of the combinatorial flag varieties
• Pfaffian forms and \(\Delta\)-matroids
• Maps and \(\Delta\)-matroids
• Greedy algorithm and symmetric matroids
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• Shellable and Cohen-Macaulay Partially Ordered Sets
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• Theory of Matroids
• Representations of matroids in semimodular lattices
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