On Moduli of G-bundles over Curves for exceptional G

Abstract

Let $G$ be a simple and simply connected complex Lie group, ${\goth{g}}$ its Lie algebra. I remove the restriction ``$G$ is of classical type or $G_2$'' made on $G$ in the papers of Beauville, Laszlo and myself [L-S] and [B-L-S] on the moduli of principal G-bundles over a curve. As I will just "patch" the missing technical points, this note should be seen as an appendix to the above cited papers.

Plain TeX, 6 p. Reason for resubmission: proof of main result has been simplified

References in corpus (3)

• Conformal blocks, fusion rules and the Verlinde formula
• The Picard group of the moduli of G-bundles on a curve
• A representation theoretic approach to the WZW Verlinde formula