TITLE: Parametrization of unitary matrices
QUESTION [5 upvotes]: Does anyone know a simple way to parametrize the space of $n\times n$ complex unitary matrices into a set of independent complex numbers in some complex-rectangle? Specifically the mapping and inverse mapping that does this.
Like a generalized euler angle.

REPLY [2 votes]: This link provides one method for doing this.
This link provides a different approach.