Abstract
We construct a measure over the string bundle associated to the loop space of a Riemannian manifold. We deduce a representation of a finite energy Kac-Moody group analoguous to the energy representation.
Citation
Rémi Léandre. "A unitary representation of the basical central extension of a loop group." Nagoya Math. J. 159 113 - 124, 2000.
Information
Published: 2000
First available in Project Euclid: 27 April 2005
zbMATH: 0969.58011
MathSciNet: MR1783566
Subjects:
Primary:
58J65
Secondary:
22E67
,
58D20
,
60J65
Rights: Copyright © 2000 Editorial Board, Nagoya Mathematical Journal
