A survey on stability and rigidity results for Lie algebras

Marius Crainic; Florian Schätz; Ivan Struchiner

doi:10.1016/j.indag.2014.07.015

A survey on stability and rigidity results for Lie algebras

Marius Crainic, Florian Schätz, Ivan Struchiner

Universidade de São Paulo

Research output: Contribution to journal › Article › Academic › peer-review

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).

Original language	English
Pages (from-to)	957–976
Number of pages	10
Journal	Indagationes Mathematicae
Volume	25
Issue number	5
Early online date	1 Oct 2014
DOIs	https://doi.org/10.1016/j.indag.2014.07.015
Publication status	Published - Oct 2014

Keywords

Deformations
Rigidity
Lie algebras
Implicit function theorems
Kuranishi space

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KW - Rigidity

KW - Lie algebras

KW - Implicit function theorems

KW - Kuranishi space

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A survey on stability and rigidity results for Lie algebras

Abstract

Keywords

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