A survey on stability and rigidity results for Lie algebras

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A survey on stability and rigidity results for Lie algebras
 
Crainic, Marius; Schätz, Florian; Struchiner, Ivan
(2014) Indagationes Mathematicae, volume 25, issue 5, pp.
(Article)
Abstract
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).
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Keywords: Deformations, Rigidity, Lie algebras, Implicit function theorems, Kuranishi space
DOI: https://doi.org/10.1016/j.indag.2014.07.015
ISSN: 0019-3577
Publisher: Elsevier
(Peer reviewed)
 
 
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