Regular infinite dimensional Lie groups

Simple item page
dc.creatorKriegl, Andreas
dc.creatorMichor, Peter W.
dc.date1998-01-02
dc.date.accessioned2026-07-07T05:23:28Z
dc.date.available2026-07-07T05:23:28Z
dc.descriptionRegular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolution operator' exists). Up to now all known smooth Lie groups are regular. We show in this paper that regular Lie groups allow to push surprisingly far the geometry of principal bundles: parallel transport exists and flat connections integrate to horizontal foliations as in finite dimensions. As consequences we obtain that Lie algebra homomorphisms intergrate to Lie group homomorphisms, if the source group is simply connected and the image group is regular.
dc.descriptionAmSTeX, using diag.tex with fonts lams?.ps, 38 pages
dc.identifierhttps://arxiv.org/abs/math/9801007
dc.identifierhttp://arxiv.org/abs/math/9801007
dc.identifierJ. Lie Theory, 7,1 (1997), 61--99
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76451
dc.subjectDifferential Geometry
dc.subject22E65, 58B25, 53C05
dc.titleRegular infinite dimensional Lie groups
dc.typetext

Files

Collections

arXiv