Goodman, Roe; Wallach, Nolan R. Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. (English) Zbl 0514.22012 J. Reine Angew. Math. 347, 69-133 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 48 Documents MSC: 22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties Keywords:unitary cocycle representations; loop groups; diffeomorphisms of the circle; Banach Lie groups; finite dimensional semi-simple Lie groups; central extension; holomorphic representations; Shale-Weil representation; Stone-von Neumann theorem PDFBibTeX XMLCite \textit{R. Goodman} and \textit{N. R. Wallach}, J. Reine Angew. Math. 347, 69--133 (1984; Zbl 0514.22012) Full Text: DOI Crelle EuDML