Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials

Rui Xiong

Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials

Combinatorics 2021-06-15 v1 Algebraic Geometry

Authors: Rui Xiong

Abstract

We study the generalized double $\beta$ -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 $\alpha^*: K(G/B)\to K(G)\otimes K(G/B)$ 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.

Keywords

graph meta-learning weakly-supervised learning few-shot node classification label noise graph hallucination networks knowledge transfer

Cite

@article{arxiv.2106.06872,
  title  = {Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials},
  author = {Rui Xiong},
  journal= {arXiv preprint arXiv:2106.06872},
  year   = {2021}
}

Comments

a part of master thesis of the author

Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials

Abstract

Keywords

Cite

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