A survey on stability and rigidity results for Lie algebras |
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| Institution: | 1. Department of Mathematics, Utrecht University, 3508 TA Utrecht, The Netherlands;2. Department of Mathematics, University of São Paulo, Cidade Universitária, São Paulo, Brazil |
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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). |
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| Keywords: | Deformations Rigidity Lie algebras Implicit function theorems Kuranishi space |
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