Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials

Abstract

In this article, the comodule structure of Chow rings of Flag manifolds $\mathrm{CH}(G/B)$ is described by Schubert cells. Its equivariant version gives rise to a Hopf structure of the equivariant cohomology of flag manifolds $H_B^{\ast }(G/B)$. We get two identities of generalized Schubert polynomials as explanations of the geometric facts.

Problem of signs in the previous version are corrected

References in corpus (1)

• On Double Schubert and Grothendieck polynomials for Classical Groups

Cited by in corpus (1)

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