Hi everybody,(adsbygoogle = window.adsbygoogle || []).push({});

I hope that I chose the right Forum for my question. As the title might suggest, I am interested in the embedding of the Lie algebra of U(n) into the Lie Algebra of O(2n). In connection with this it would be interesting to understand the resulting embedding of U(n) in O(2n). I tried to find something in the literature, but I didn't succeed.

Since the application is far away I can't really explain the reason for my question. Eventually I start with a matrix which is an Element of Lie(U(n)) and want to understand how this matrix is embedded in Lie(O(2n)).

Here O(2n) means the the symmetry group of a scalar product on a real vector space of dimension 2n.

Maybe someone of you knows a good book or a publication that is related to this embedding and explains it.

Thanks for reading and perhaps for answering,

Timb00

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# U(n) as subgroup of O(2n)

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