Conjugacy Classes in Kac-Moody Groups and Principal G-Bundles over Elliptic Curves
Representation Theory
2007-05-23 v1 Algebraic Geometry
Abstract
For a simple complex Lie group G the connected components of the moduli space of G-bundles over an elliptic curve are weighted projective spaces. In this note we will provide a new proof of this result using the invariant theory of Kac-Moody groups, in particular the action of the (twisted) Coxeter element on the root system of G.
Keywords
Cite
@article{arxiv.math/0605684,
title = {Conjugacy Classes in Kac-Moody Groups and Principal G-Bundles over Elliptic Curves},
author = {Stephan Mohrdieck and Robert Wendt},
journal= {arXiv preprint arXiv:math/0605684},
year = {2007}
}