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).

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
Tags:	Add Tag No Tags, Be the first to tag this record!