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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Vydané v:Indagationes mathematicae Ročník 25; číslo 5; s. 957 - 976
Hlavní autori: Crainic, Marius, Schätz, Florian, Struchiner, Ivan
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier B.V 01.10.2014
Predmet:
Deformations
Implicit function theorems
Kuranishi space
Lie algebras
Rigidity
Deformations
Kuranishi space
Rigidity
Implicit function theorems
Lie algebras
ISSN:0019-3577, 1872-6100
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Popis
Shrnutí: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