Abstract
The systematic investigation of infinite dimensional unitary representations of Lie groups began with the works of V. Bargmann[1947] on SL(2, R) and I. M. Gelfand-M. A. Naimark[1947] on SL(2,C). The theory of the finite dimensional representations of Lie algebras and Lie groups had been established by E. Cartan[1913] and H. Weyl[1925/26], [1934/35]. However the finite dimensional theory did not develop spontaneously into the infinite dimensional one. The purpose of this paper is to study the circumstances.
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.
