The "Grothendieck to Lascoux" conjecture

Abstract

This report formulates a conjectural combinatorial rule that positively expands Grothendieck polynomials into Lascoux polynomials. It generalizes one such formula expanding Schubert polynomials into key polynomials, and refines another one expanding stable Grothendieck polynomials.

arXiv comment9 pages

References in corpus (2)

• Set-Valued Skyline Fillings
• Asymmetric function theory

Cited by in corpus (3)

• Grothendieck to Lascoux expansions
• Set-valued tableaux rule for Lascoux polynomials
• Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes