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Yang-Baxter equation, symmetric functions and Grothendieck polynomials

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arxiv hep-th/9306005 v2 pith:33KFWDLL submitted 1993-06-01 hep-th math.QA

Sergey Fomin , Anatol N. Kirillov This is my paper · ORCID
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keywords equationgrothendieckpolynomialsyang-baxteralgebradevelopmentexponentialfunctions
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New development of the theory of Grothendieck polynomials, based on an exponential solution of the Yang-Baxter equation in the algebra of projectors are given.

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  1. Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials

    math-ph 2025-02 conditional novelty 6.0 of 10

    Bethe ansatz states of a new GL(n) five vertex model expand into double β-Grothendieck polynomials, and the model's Bethe equations reproduce the quantum Whitney relations of flag varieties.

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