Notes on Schubert, Grothendieck and Key Polynomials

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.

References in corpus (2)

• Keys and alternating sign matrices
• Super RSK-algorithms and super plactic monoid

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