On the Euler angles for SU(N)

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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 CP{sup n}. This justifies the interpretation of the parameters as generalized Euler angles.

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Cerchiai, Bianca L; Bertini, S. & Cacciatori, Sergio L. October 20, 2005.

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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 CP{sup n}. This justifies the interpretation of the parameters as generalized Euler angles.

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16

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  • Journal Name: Journal of Mathematical Physics; Journal Volume: 47; Related Information: Journal Publication Date: 2006

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  • Report No.: LBNL-1485E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 948357
  • Archival Resource Key: ark:/67531/metadc902008

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  • October 20, 2005

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 30, 2016, 6:49 p.m.

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Cerchiai, Bianca L; Bertini, S. & Cacciatori, Sergio L. On the Euler angles for SU(N), article, October 20, 2005; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc902008/: accessed November 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.