An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type
Abstract
Description
We 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.
To appear in International Mathematics Research Notices, 17 pages
To appear in International Mathematics Research Notices, 17 pages