An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0402182,
title = {An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type},
author = {Niky Kamran and Thierry Robart},
journal= {arXiv preprint arXiv:math/0402182},
year = {2007}
}
Comments
To appear in International Mathematics Research Notices, 17 pages