A survey on stability and rigidity results for Lie algebras

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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Bibliographic Details
Published in:Indagationes mathematicae Vol. 25; no. 5; pp. 957 - 976
Main Authors: Crainic, Marius, Schätz, Florian, Struchiner, Ivan
Format: Journal Article
Language:English
Published: Elsevier B.V 01.10.2014
Subjects:
Deformations
Implicit function theorems
Kuranishi space
Lie algebras
Rigidity
Deformations
Kuranishi space
Rigidity
Implicit function theorems
Lie algebras
ISSN:0019-3577, 1872-6100
Online Access:Get full text
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Description
Summary: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).
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2014.07.015