Conjugacy classes in affine Kac-Moody groups and principal G-bundles over elliptic curves

Link:

https://doi.org/10.1016/j.jalgebra.2009.06.006

Autor/in:

Erscheinungsjahr:

2009

Medientyp:

Text

Schlagworte:

Elliptic curves
Loop groups
Representation theory

Beschreibung:

For a simple complex Lie group G the connected components of the moduli space of semistable G-bundles over an elliptic curve are weighted projective spaces or quotients of weighted projective spaces by a finite group action. In this note we will provide a new proof of this result using the invariant theory of affine Kac-Moody groups, in particular the action of the (twisted) Coxeter element on the root system of G. © 2009 Elsevier Inc. All rights reserved.

Lizenz:

info:eu-repo/semantics/openAccess

Quellsystem:

Forschungsinformationssystem der UHH

Interne Metadaten

Quelldatensatz: oai:www.edit.fis.uni-hamburg.de:publications/bb62bf96-724f-42bf-8567-c6d16b4f7136