2014/06/26 by Palle E. T. Jørgensen, Palle Jorgensen, Feng Tian +2
Mathematics · Physics and Astronomy · #05C50 #05C75 #22E70 #31A15 #31C20 #42C15 #46N30 #46N50 #58J65 #65R10 #81S25 #Advanced Algebra and Geometry #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Nonlinear Waves and Solitons #Primary 47L60 #Secondary 46N20 #math.FA #msc:05C50 #msc:05C75 #msc:22E70 #msc:31A15 #msc:31C20 #msc:42C15 #msc:46N20 #msc:46N30 #msc:46N50 #msc:47L60 #msc:58J65 #msc:65R10 #msc:81S25
paper · pdf · doi:10.48550/arxiv.1406.6966
20 pages, 2 Figures
arxiv created 2014/06/26 · openalex publication_date 2014/06/26 · arxiv updated 2014/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a number of results on integrability and extendability of Lie algebras of unbounded skew-symmetric operators with common dense domain in Hilbert space. By integrability for a Lie algebra \mathfrakg, we mean that there is an associated unitary representation U of the corresponding simply connected Lie group such that \mathfrakg is the differential of U. Our results extend earlier integrability results in the literature; and are new even in the case of a single operator. Our applications include a new invariant for certain Riemann surfaces.