Accessible proof of standard monomial basis for coordinatization of Schubert sets of flags

DOI10.1016/j.laa.2016.01.003zbMath1382.14020arXiv1508.02744OpenAlexW2964144932MaRDI QIDQ252607

David C. Lax

Publication date: 3 March 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02744

zbMATH Keywords

Schubert varietyDemazure modulekey polynomialscanning tableaustandard monomial

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• Geometry of 𝐺/𝑃
• Désingularisation des variétés de Schubert généralisées
• Flag varieties. An interplay of geometry, combinatorics, and representation theory

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