On the Euler angles for SU(N)
read the original abstract
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.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
On $\beta$-function of $\mathcal{N}=2$ supersymmetric integrable sigma models II
A renormalization scheme is identified for N=2 supersymmetric integrable sigma models in which the five-loop beta-function contribution vanishes and the fourth-loop term becomes a coordinate-independent invariant for ...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.