Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. Representations of the group of smooth mappings from a manifold \(X\) into a compact Lie group. (English. Russian original) Zbl 0393.22012 Sov. Math., Dokl. 18, 118-121 (1977); translation from Dokl. Akad. Nauk SSSR 232, 745-748 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods Keywords:Decomposition Tensor Product; Current Group; Representations; Lie Algebra; Compact Lie Group; Connected Real Smooth Manifold; Group Of Smooth Mappings; Gaussian Measure; Unitary Representation; Irreducibility; Adjoint Representation; Smooth L-Valued 1-Forms; Riemannian Structure Citations:Zbl 0368.53034; Zbl 0393.22013 PDFBibTeX XMLCite \textit{A. M. Vershik} et al., Sov. Math., Dokl. 18, 118--121 (1977; Zbl 0393.22012); translation from Dokl. Akad. Nauk SSSR 232, 745--748 (1977)