Chern classes for representations of reductive groups
Algebraic Geometry
2007-05-23 v1
Abstract
Let G be a complex connected reductive group. The representation ring R(G) admits a canonical filtration defined in terms of the lambda-structure. We compute the associated graded ring gr R(G) (over Q) and the Chern classes of a representation -- an easy exercise which we have been unable to find in the literature. As an application we give a simple definition of the characteristic classes of a principal bundle P --> B in gr K(B), and a simple way of computing the Chern classes of the associated vector bundles.
Cite
@article{arxiv.math/0104031,
title = {Chern classes for representations of reductive groups},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:math/0104031},
year = {2007}
}
Comments
7 pages, Plain TeX