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Conjugacy Classes in Kac-Moody Groups and Principal G-Bundles over Elliptic Curves

Stephan Mohrdieck·Robert Wendt
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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.

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BibTeXRIS

Stephan Mohrdieck, Robert Wendt. 2006-05-26. Conjugacy Classes in Kac-Moody Groups and Principal G-Bundles over Elliptic Curves. https://arxiv.org/abs/math/0605684

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