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A unitary representation of the basical central extension of a loop group

Published online by Cambridge University Press:  22 January 2016

Rémi Léandre
Rémi Léandre*
Affiliation:
Département de Mathématiques, Institut Elie Cartan, Facultédes Sciences Universitéde Nancy I, 54000. Vandoeuvre-les-Nancy, France
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Abstract

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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.

Keywords

58G3260H07
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 159 , 2000 , pp. 113 - 124
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

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