The Chow rings of the algebraic groups E_6, E_7, and E_8
Algebraic Topology
2010-04-08 v3 Algebraic Geometry
Abstract
We determine the Chow rings of the complex algebraic groups of the exceptional type E_6, E_7, and E_8, giving the explicit generators represented by the pull-back images of Schubert varieties of the corresponding flag varieties. This is a continuation of the work of R. Marlin on the computation of the Chow rings of SO_n, Spin_n, G_2, and F_4. Our method is based on Schubert calculus of the corresponding flag varieties, which has its own interest.
Keywords
Cite
@article{arxiv.0709.3702,
title = {The Chow rings of the algebraic groups E_6, E_7, and E_8},
author = {Shizuo Kaji and Masaki Nakagawa},
journal= {arXiv preprint arXiv:0709.3702},
year = {2010}
}
Comments
23 pages, AMS-LaTeX; Result for E_8 added; Title changed from "The Chow rings of the algebraic groups E_6 and E_7".