An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type

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dc.creatorKamran, Niky
dc.creatorRobart, Thierry
dc.date2004-02-11
dc.date.accessioned2026-07-07T05:05:22Z
dc.date.available2026-07-07T05:05:22Z
dc.descriptionWe construct a infinite-dimensional manifold structure adapted to analytic Lie pseudogroups of infinite type. More precisely, we prove that any isotropy subgroup of an analytic Lie pseudogroup of infinite type is a regular infinite-dimensional Lie group, modelled on a locally convex strict inductive limit of Banach spaces. This is an infinite-dimensional generalization to the case of Lie pseudogroups of the classical second fundamental theorem of Lie.
dc.descriptionTo appear in International Mathematics Research Notices, 17 pages
dc.identifierhttps://arxiv.org/abs/math/0402182
dc.identifierhttp://arxiv.org/abs/math/0402182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70138
dc.subjectDifferential Geometry
dc.subject58H05; 58B25
dc.titleAn infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type
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