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   A Survey on Stability and Rigidity Results for Lie algebras; ; Schatz, Florian  in Indagationes Mathematicae (2014), 25(5), 957-976 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 ... [more ▼] 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). [less ▲] Detailed reference viewed: 66 (4 UL)Deformations of Lie brackets and representations up to homotopy; Schatz, Florian in Indagationes Mathematicae (2011), 22 We show that representations up to homotopy can be differentiated in a functorial way. A van Est type isomorphism theorem is established and used to prove a conjecture of Crainic and Moerdijk on ... [more ▼] We show that representations up to homotopy can be differentiated in a functorial way. A van Est type isomorphism theorem is established and used to prove a conjecture of Crainic and Moerdijk on deformations of Lie brackets. [less ▲] Detailed reference viewed: 49 (1 UL)Derivations of the Lie algebras of differential operators; Poncin, Norbert in Indagationes Mathematicae (2005), 16(2), 181--200 Detailed reference viewed: 86 (1 UL) |
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