English

A survey on stability and rigidity results for Lie algebras

Representation Theory 2013-07-31 v1 Rings and Algebras

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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Cite

@article{arxiv.1307.7979,
  title  = {A survey on stability and rigidity results for Lie algebras},
  author = {Marius Crainic and Florian Schaetz and Ivan Struchiner},
  journal= {arXiv preprint arXiv:1307.7979},
  year   = {2013}
}

Comments

20 pages