Corpus ID: 235421778

# Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials

@inproceedings{Xiong2021CauchyFA,
title={Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials},
author={Rui Xiong},
year={2021}
}
We study the generalized double β-Grothendieck polynomials for all types. We study the Cauchy formulas for them. Using this, we deduce the K-theoretic version of the comodule structure map α : K(G/B) → K(G) ⊗ K(G/B) induced by the group action map for reductive group G and its flag variety G/B. Furthermore, we give a combinatorial formula to compute the localization of Schubert classes as a generalization of Billey’s formula. I would politely express my gratitude to Victor Petrov, Neil JiuYu… Expand

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