Structure of matrix manifolds and a particle model

The decomposition of matrix manifolds into homogeneous spaces of certain groups is studied in some detail. The results are applied to the derivation of the internal structure of SU(2,2)×SU(m)‐ and P 4×SU(m)‐invariant particle models where the first (second) factor in the direct product represents ex...

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Veröffentlicht in:Journal of mathematical physics 1996-02, Vol.37 (2), p.1004-1028
Hauptverfasser: Kocik, Jerzy, Rzewuski, Jan
Format: Artikel
Sprache:eng
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Zusammenfassung:The decomposition of matrix manifolds into homogeneous spaces of certain groups is studied in some detail. The results are applied to the derivation of the internal structure of SU(2,2)×SU(m)‐ and P 4×SU(m)‐invariant particle models where the first (second) factor in the direct product represents external (internal) symmetry.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.531423