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\(WP\)-matroids and thin Schubert cells on Tits systems

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Publication:1328498
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DOI10.1006/aima.1994.1007zbMath0805.05013OpenAlexW2028136055MaRDI QIDQ1328498

Alexandre V. Borovik, Israel M. Gel'fand

Publication date: 27 September 1994

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1994.1007

zbMATH Keywords

Tits systemsCoxeter groupSchubert cells\(WP\)-matroidsSchubert decomposition


Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35) Groups with a (BN)-pair; buildings (20E42)


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On exchange properties for Coxeter matroids and oriented matroids, Oriented Lagrangian orthogonal matroid representations, Oriented Lagrangian matroids, Representations of matroids in semimodular lattices, Symplectic matroids, Coxeter matroid polytopes, A geometric characterization of Coxeter matroids, Combinatorial flag varieties, An adjacency criterion for Coxeter matroids



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