The concept of evolution operator is used to introduce a weak Lie subgroup of a regular Lie group, and to give a new version of the third Lie theorem. This enables the author to formulate and to study the problem of integrability of infinite-dimensional Lie algebras. Several interesting examples are presented.
@article{701698,
title = {An infinite dimensional version of the third Lie theorem},
booktitle = {Proceedings of the 21st Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {2002},
pages = {[209]-217},
mrnumber = {MR1972436},
zbl = {1010.22025},
url = {http://dml.mathdoc.fr/item/701698}
}
Rybicki, Tomasz. An infinite dimensional version of the third Lie theorem, dans Proceedings of the 21st Winter School "Geometry and Physics", GDML_Books, (2002), pp. [209]-217. http://gdmltest.u-ga.fr/item/701698/