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The "Grothendieck to Lascoux" conjecture

Published 24 Feb 2021 in math.CO | (2102.12399v1)

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.

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