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Partial orders generalizing the weak order on Coxeter groups

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Publication:1395820
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DOI10.1016/S0097-3165(03)00046-3zbMath1027.06003OpenAlexW1981228094MaRDI QIDQ1395820

Curtis D. Bennett, Rieuwert J. Blok

Publication date: 1 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0097-3165(03)00046-3

zbMATH Keywords

Coxeter groupspartial orderBruhat orderorder-complexPieri formulaCoxeter systemflag-manifolds\(T\)-orderscombinatorial structures on posets


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)


Related Items

Enumeration by associated reflections on Coxeter systems, Enumerating \(S_n\) by associated transpositions and linear extensions of finite posets



Cites Work

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  • Spanning point-line geometries in buildings of spherical type
  • A simple definition for the universal Grassmannian order
  • Schubert polynomials, the Bruhat order, and the geometry of flag manifolds
  • A Pieri-type formula for isotropic flag manifolds
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