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A survey on stability and rigidity results for Lie algebras

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Publication date

2014-10

Authors

Crainic, MariusISNI 0000000387220139
Schätz, FlorianISNI 0000000507309817
Struchiner, Ivan

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DOI

https://doi.org/10.1016/j.indag.2014.07.015

Document Type

Article

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Utrecht University Repository

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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).

Keywords

Deformations, Rigidity, Lie algebras, Implicit function theorems, Kuranishi space

Citation

Crainic, M, Schätz, F & Struchiner, I 2014, 'A survey on stability and rigidity results for Lie algebras', Indagationes Mathematicae, vol. 25, no. 5, pp. 957–976. https://doi.org/10.1016/j.indag.2014.07.015

URI

https://dspace.library.uu.nl/handle/1874/307366