A simple definition for the universal Grassmannian order

DOI10.1016/S0097-3165(03)00047-5zbMath1018.05107OpenAlexW2077252809MaRDI QIDQ1395822

Lakshmi Evani, Curtis D. Bennett, David J. Grabiner

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)00047-5

zbMATH Keywords

Schubert polynomialspermutation statisticGrassmannian-Bruhat orderposet of partial orders

Mathematics Subject Classification ID

Related Items (3)

Partial orders generalizing the weak order on Coxeter groups ⋮ 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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• A monoid for the Grassmannian Bruhat order
• Schubert polynomials, the Bruhat order, and the geometry of flag manifolds
• A Pieri-type formula for isotropic flag manifolds

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