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arXiv · 2106.06872

Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials

Rui Xiong
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Abstract

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 $α^*: K(G/B)\to K(G)\otimes K(G/B)$ 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.

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Rui Xiong. 2021-06-12. Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials. https://arxiv.org/abs/2106.06872

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