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Results tagged with matrices
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user 145660
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
1
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On Euler angles decomposition of $\mathrm{SU}(N)$
DeclareMathOperator\SU{SU}$I am looking for a (generalized) Euler angles decomposition for $\SU(N)\ (N>1)$ in the following fashion:
$$
\SU(N)\ni m = a\, u \, b
$$
where $a,b$ are independent diagonal $\SU(N)$-matrices … For instance the matrices $u$ might form a $U(N)$-isomorphic subgroup of $\SU(N)$. …
- 41
1
vote
Accepted
On Euler angles decomposition of $\mathrm{SU}(N)$
Building on the paper Idel and Wolf - Sinkhorn normal form for unitary matrices Colin McQuillan suggested, it is easy to see that every $\operatorname{SU}(N)$ matrix $m$ can be decomposed as
$$
m = a \ …
- 41