From Lie algebras to Lie groups within synthetic differential geometry: Weil sprouts of Lie's third fundamental theorem
Loading...
Date
2013
Authors
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
Altmetrics
Abstract
Weil prolongations of a Lie group are naturally Lie groups. It is not
known in the theory of in nite-dimensional Lie groups how to construct a Lie group
with a given Lie algebra as its Lie algebra or whether there exists such a Lie group
at all. We will show in this paper how to construct some Weil prolongations of
this mythical Lie group from a given Lie algebra. We will do so within our favorite
framework of synthetic di erential geometry.
Description
Keywords
Citation
Mathematics for Applications. 2013, 2, č. 2, s. 135-151. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/2_2/ma_2_2_nishimura_final.pdf
http://ma.fme.vutbr.cz/archiv/2_2/ma_2_2_nishimura_final.pdf
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky