Top-degree components of Grothendieck and Lascoux polynomials

DOI10.5802/alco.326arXiv2302.03643OpenAlexW4392044791MaRDI QIDQ6122140

Tianyi Yu, Jian-Ping Pan

Publication date: 28 February 2024

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

Full work available at URL: https://arxiv.org/abs/2302.03643

zbMATH Keywords

Hilbert seriesGrothendieck polynomialsLascoux polynomialsCastelnuovo-Mumford polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative Schubert polynomials
• Gröbner geometry of Schubert polynomials
• Combinatorial rules for three bases of polynomials
• Q-counting rook configurations and a formula of Frobenius
• Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers
• Invariant theory and tableaux. Proceedings of the workshop held at the IMA, Minneapolis, MN (USA) on March 21-25, 1988
• Some combinatorial properties of Schubert polynomials
• Key polynomials and a flagged Littlewood-Richardson rule
• Schubert and Grothendieck: a bidecennial balance
• Positivity in the Grothendieck group of complex flag varieties.
• Permutations, matrices, and generalized Young tableaux
• Longest Increasing and Decreasing Subsequences
• An orthodontia formula for Grothendieck polynomials
• Grothendieck polynomials via permutation patterns and chains in the Bruhat order
• Generalized pattern avoidance
• Grothendieck-to-Lascoux expansions
• Regularity of matrix Schubert varieties
• A bijection between \(K\)-Kohnert diagrams and reverse set-valued tableaux

This page was built for publication: Top-degree components of Grothendieck and Lascoux polynomials