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Results tagged with lie-groups
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user 23602
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
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Representing elements of U(N) or SO(N) by elementary rotations exp(i phi_n sigma_n)
Given a (orthogonal) basis $(\sigma_n)_{n=1,\dots,K}$ of the algebra $u(N)$, we can represent any element $U$ of the corresponding group $U(N)$ in the form
$U=e^{i\sum_{n=1}^K\varphi_n\sigma_n}$.
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