关于SU（N）的欧拉角
On the Euler angles for SU(N)
摘要：
本文重新考虑酉群的Euler参数化问题。在用广义角构造了一般群元之后，我们计算了SU（N）上的不变测度，然后用拓扑和几何方法确定了参数的全范围.特别是，我们表明，给定的参数化实现了作为纤维化的U（N）在复杂的射影空间$\mathbb{CP}^n$的组$SU(N+1)$。这证明了将参数解释为广义欧拉角是合理的。
英文摘要：
In this paper we reconsider the problem of the Euler parametrization for the unitary groups. After constructing the generic group element in terms of generalized angles, we compute the invariant measure on SU(N) and then we determine the full range of the parameters, using both topological and geometrical methods. In particular, we show that the given parametrization realizes the group $SU(N+1)$ as a fibration of U(N) over the complex projective space $\mathbb{CP}^n$. This justifies the interpretation of the parameters as generalized Euler angles.
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