Abstract
Let D be the group of orientation-preserving diffeomorphisms of the circle S 1. Then D is Fréchet Lie group with Lie algebra ( δ ∞) R the smooth real vector fields on S 1. Let δ R be the subalgebra of real vector fields with finite Fourier series. It is proved that every infinitesimally unitary projective positive-energy representation of δ R integrates to a continuous projective unitary representation of D . This result was conjectured by V. Kac.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
