Real form (Lie theory)

id: real-form-lie-theory-319-1374094
title: Real form (Lie theory)
text: In mathematics, the notion of a real form relates objects defined over the field of real and complex numbers. A real Lie algebra g0 is called a real form of a complex Lie algebra g if g is the complexification of g0: The notion of a real form can also be defined for complex Lie groups. Real forms of complex semisimple Lie groups and Lie algebras have been completely classified by Élie Cartan.
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original url: https://en.wikipedia.org/wiki/Real_form_(Lie_theory)
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date modified: 2023-06-20T14:46:55Z
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image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/14/E8Petrie.svg","width":512,"height":514}
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