, Volume 80, Issue 3, pp 301-342

Unitary representations of some infinite dimensional groups

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We construct projective unitary representations of (a) Map(S 1;G), the group of smooth maps from the circle into a compact Lie groupG, and (b) the group of diffeomorphisms of the circle. We show that a class of representations of Map(S 1;T), whereT is a maximal torus ofG, can be extended to representations of Map(S 1;G),

Communicated by A. Jaffe