Principal specializations of Schubert polynomials in classical types

DOI10.5802/alco.148zbMath1465.05187arXiv2002.00303OpenAlexW3152923873MaRDI QIDQ5918280

Eric Marberg, Brendan Pawlowski

Publication date: 10 June 2021

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00303

zbMATH Keywords

Coxeter systemsSchubert polynomialsreduced wordsGrothendieck polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (3)

Gröbner geometry for skew-symmetric matrix Schubert varieties ⋮ Gröbner geometry for skew-symmetric matrix Schubert varieties ⋮ Pipe dreams for Schubert polynomials of the classical groups

Cites Work

• \(K\)-theory formulas for orthogonal and symplectic orbit closures
• Some combinatorial properties of Schubert polynomials
• Schubert polynomials and the nilCoxeter algebra
• Reduced words and plane partitions
• Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures
• A bijective proof of Macdonald's reduced word formula
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• On some properties of symplectic Grothendieck polynomials
• A symplectic refinement of shifted Hecke insertion
• Involution pipe dreams
• Construction of double Grothendieck polynomials of classical types using idcoxeter algebras
• Schubert Polynomials for the Classical Groups

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