Complexification (Lie group)
id:
complexification-lie-group-257-1343048
title:
Complexification (Lie group)
text:
In mathematics, the complexification or universal complexification of a real Lie group is given by a continuous homomorphism of the group into a complex Lie group with the universal property that every continuous homomorphism of the original group into another complex Lie group extends compatibly to a complex analytic homomorphism between the complex Lie groups. The complexification, which always exists, is unique up to unique isomorphism. Its Lie algebra is a quotient of the complexification of
brand slug:
wiki
category slug:
encyclopedia
description:
Universal construction of a complex Lie group from a real Lie group
original url:
https://en.wikipedia.org/wiki/Complexification_(Lie_group)
date created:
date modified:
2022-12-02T14:30:25Z
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fields total:
13
integrity:
15