What does it mean to say a Lie group is real?

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Thread starter pellman
Start date Mar 24, 2015
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pellman

Thread starter
Mar 24, 2015

What makes a Lie group a real Lie group? I see on the Wikipedia page http://en.wikipedia.org/wiki/Lie_group "A real Lie group is a group that is also a finite-dimensional real smooth manifold" So when is a manifold a real manifold?

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branch

Mar 24, 2015

If the charts of your atlas map into R^n the manifold is real, if they map intor C^n it is complex.

pellman

Mar 24, 2015

Thanks. Makes sense.

What does it mean to say a Lie group is real?

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