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Notes on Schubert, Grothendieck and Key Polynomials

Published 29 Jan 2015 in math.CO | (1501.07337v3)

Abstract: We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and combinatorial properties of the reduced rectangular plactic algebra and associated Cauchy kernels.

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