On the Euler angles for SU(N)
Copyright policy )On the Euler angles for SU(N)
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 CPn. This justifies the interpretation of the parameters as generalized Euler angles.
- University of California System United States
- University of California, San Francisco United States
- University of North Texas United States
- Lawrence Berkeley National Laboratory United States
- University of California, Berkeley United States
High Energy Physics - Theory, 72, Geometry, FOS: Physical sciences, Unitarity, Mathematical Physics (math-ph), Parametric Analysis Lie Group, Lie Group, High Energy Physics - Theory (hep-th), Haar Measure, Su Groups, Mathematical Physics
High Energy Physics - Theory, 72, Geometry, FOS: Physical sciences, Unitarity, Mathematical Physics (math-ph), Parametric Analysis Lie Group, Lie Group, High Energy Physics - Theory (hep-th), Haar Measure, Su Groups, Mathematical Physics
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