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arxiv: 1604.00104 · v1 · pith:OY5N7UL2new · submitted 2016-04-01 · 🧮 math.CO · math.KT

A bijective proof of the Cauchy identity for Grothendieck polynomials

classification 🧮 math.CO math.KT
keywords grothendieckpolynomialsbijectivecauchyidentityproofalgortithmscolumn-strict
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We consider pairs of a set-valued column-strict tableau and a reverse plane partition of the same shape. We introduce algortithms for them, which implies a bijective proof for the finite sum Cauchy identity for Grothendieck polynomials and dual Grothendieck polynomials.

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