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A Survey on Stability and Rigidity Results for Lie algebras
Crainic, Marius; Struchiner, Ivan; SCHATZ, Florian
2014 • In Indagationes Mathematicae, 25 (5), p. 957-976
Peer Reviewed verified by ORBi
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https://hdl.handle.net/10993/22568
DOI
10.1016/j.indag.2014.07.015
 

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Keywords :
deformation theory; Lie algebras; moduli spaces
Abstract :
[en] We give simple and unified proofs of the known stability and rigidity results for Lie algebras, Lie subalgebras and Lie algebra homomorphisms. Moreover, we investigate when a Lie algebra homomorphism is stable under all automorphisms of the codomain (including outer automorphisms).
Research center :
Department of Mathematics, Utrecht University (Utrecht, The Netherlands)
Disciplines :
Mathematics
Author, co-author :
Crainic, Marius;  Department of Mathematics > Utrecht University > Professor
Struchiner, Ivan;  University of São Paulo > Department of Mathematics > Assistant Professor
SCHATZ, Florian ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
A Survey on Stability and Rigidity Results for Lie algebras
Publication date :
2014
Event name :
Poisson 2012 - Poisson Geometry in Mathematics and Physics
Event place :
Utrecht, Netherlands
Event date :
30-7-2012 to 3-8-2012
By request :
Yes
Audience :
International
Journal title :
Indagationes Mathematicae
ISSN :
0019-3577
eISSN :
1872-6100
Publisher :
Elsevier, Amsterdam, Netherlands
Special issue title :
Poisson 2012: Poisson Geometry in Mathematics and Physics
Volume :
25
Issue :
5
Pages :
957-976
Peer reviewed :
Peer Reviewed verified by ORBi
Additional URL :
http://www.sciencedirect.com/science/article/pii/S001935771400069X
Funders :
ERC Starting Grant No. 279729
Utrecht University (Utrecht, The Netherlands)
FAPESP 2013/16753-8 and CNPq 304840/2013-0 (Brazil)
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since 25 November 2015

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