Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials

Abstract

In this article, the comodule structure of Chow rings of Flag manifolds 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 (G/B). We get two identities of generalized Schubert polynomials as explanations of the geometric facts.