Re: complex orthogonal group

Tobias Fritz wrote:

> Is SO(n,C) generated by reflections (at non-null vectors)?

Yes. This is called the Cartan-Dieudonné theorem (and is actually true over
any field of characteristic different from 2).

> Any hints or
> references would be appreciated!

J. Dieudonné, Sur les groupes classiques, Hermann (p.20, Prop.8)
E. Artin, Geometric algebra, Wiley (p.129, Theorem 3.20)

--
Christian Ohn
e-mail: firstname dot lastname at univ hyphen valenciennes dot fr

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