[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
