Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials
Abstract
In this article, the comodule structure of Chow rings of Flag manifolds $\operatorname{CH}(G/B)$ 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2020
- DOI:
- 10.48550/arXiv.2010.14780
- arXiv:
- arXiv:2010.14780
- Bibcode:
- 2020arXiv201014780X
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Algebraic Topology;
- Mathematics - Combinatorics
- E-Print:
- Problem of signs in the previous version are corrected