An infinite dimensional version of the third Lie theorem

Rybicki, Tomasz

  • Proceedings of the 21st Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [209]-217

Abstract

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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.

How to cite

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Rybicki, Tomasz. "An infinite dimensional version of the third Lie theorem." Proceedings of the 21st Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2002. [209]-217. <http://eudml.org/doc/221816>.

@inProceedings{Rybicki2002,
abstract = {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.},
author = {Rybicki, Tomasz},
booktitle = {Proceedings of the 21st Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {[209]-217},
publisher = {Circolo Matematico di Palermo},
title = {An infinite dimensional version of the third Lie theorem},
url = {http://eudml.org/doc/221816},
year = {2002},
}

TY - CLSWK
AU - Rybicki, Tomasz
TI - An infinite dimensional version of the third Lie theorem
T2 - Proceedings of the 21st Winter School "Geometry and Physics"
PY - 2002
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [209]
EP - 217
AB - 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.
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221816
ER -

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