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A note on complex Lie Algebras isomorphic to their conjugate

Demarche, Cyril
arXiv (All) · Papers
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algebraic-geometrynumber-theoryrepresentation-theory
A real Lie algebra defines by extension of scalars a complex Lie algebra that is isomorphic to its Galois conjugate. In this paper, we are interested in the converse property: given a complex Lie algebra that is isomorphic to its conjugate, is it defined over the real numbers? We prove the existence
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