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arxiv: 1307.7979 · v1 · pith:B6YXNDWAnew · submitted 2013-07-30 · 🧮 math.RT · math.RA

A survey on stability and rigidity results for Lie algebras

classification 🧮 math.RT math.RA
keywords algebraalgebrasautomorphismsresultsrigiditystabilitycodomaingive
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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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