Journal
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
Volume 55, Issue 5, Pages 969-999Publisher
CANADIAN MATHEMATICAL SOC
DOI: 10.4153/CJM-2003-039-9
Keywords
-
Categories
Ask authors/readers for more resources
We describe new construction principles for infinite-dimensional Lie groups. In particular, given any measure space (X, Sigma, mu) and (possibly infinite-dimensional) Lie group G, we construct a Lie group L-infinity (X, G), which is a Frechet-Lie group if G is so. We also show that the weak direct product Pi(iis an element ofI)* G(i) of an arbitrary family (G(i))(iis an element ofI) of Lie groups can be made a Lie group, modelled on the locally convex direct sum circle plus(iis an element ofI) L(G(i)).
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available