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Grothendieck polynomials via permutation patterns and chains in the Bruhat order

Grothendieck polynomials via permutation patterns and chains in the Bruhat order

We give new formulas for Grothendieck polynomials of two types. One type expresses any specialization of a Grothendieck polynomial in at least two sets of variables as a linear combination of products of Grothendieck polynomials in each set of variables, with coefficients Schubert structure constants for Grothendieck polynomials. The other …