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 C Pn. This justifies the interpretation of the parameters as generalized Euler angles.
On the Euler angles for SU(N)
CACCIATORI, SERGIO LUIGI;
2006-01-01
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 C Pn. This justifies the interpretation of the parameters as generalized Euler angles.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1.2190898.pdf
accesso aperto
Descrizione: PDF editoriale
Tipologia:
Altro materiale allegato
Licenza:
Creative commons
Dimensione
401.64 kB
Formato
Adobe PDF
|
401.64 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
