On the Euler angles for SU(N)

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dc.creatorBertini, S.
dc.creatorCacciatori, S. L.
dc.creatorCerchiai, B. L.
dc.date2005-10-20
dc.date2005-11-04
dc.date.accessioned2026-07-07T12:38:21Z
dc.date.available2026-07-07T12:38:21Z
dc.descriptionIn 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.
dc.description16 pages, references added
dc.identifierhttps://arxiv.org/abs/math-ph/0510075
dc.identifierhttp://arxiv.org/abs/math-ph/0510075
dc.identifierJ.Math.Phys.47:043510,2006
dc.identifierdoi:10.1063/1.2190898
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218729
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleOn the Euler angles for SU(N)
dc.typetext

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