Integrability criterion for abelian extensions of Lie groups
Author:
Pedram Hekmati
Journal:
Proc. Amer. Math. Soc. 138 (2010), 4137-4148
MSC (2010):
Primary 22E65, 20K35
DOI:
https://doi.org/10.1090/S0002-9939-2010-10423-9
Published electronically:
June 9, 2010
MathSciNet review:
2679636
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We establish a criterion for when an abelian extension of infinite-dimensional Lie algebras integrates to a corresponding Lie group extension
, where
is connected, simply connected and
for some discrete subgroup
. When
, the kernel
is replaced by a central extension
of
by
.
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Additional Information
Pedram Hekmati
Affiliation:
Department of Theoretical Physics, Royal Institute of Technology, AlbaNova University Center, SE-106 91 Stockholm, Sweden
Address at time of publication:
School of Mathematical Sciences, University of Adelaide, Adelaide, SA 5005, Australia
Email:
pedram@kth.se, pedram.hekmati@adelaide.edu.au
DOI:
https://doi.org/10.1090/S0002-9939-2010-10423-9
Keywords:
Infinite-dimensional Lie theory,
abelian extensions
Received by editor(s):
January 20, 2010
Received by editor(s) in revised form:
February 2, 2010
Published electronically:
June 9, 2010
Communicated by:
Varghese Mathai
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.