Corpus ID: 235421778

Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials

  title={Cauchy Formulas and Billey's Formulas for Generalized Grothendieck polynomials},
  author={Rui Xiong},
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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  • S. Billey
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1997
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