Degenerate Representations of the Symplectic Groups. I. The Compact Group Sp(n)

The degenerate, irreducible, unitary representations of the compact group Sp(n), characterized by one and two invariant numbers, are considered. The explicit expressions for the basis functions spanning the corresponding representation spaces and the decomposition with respect to the maximal subgrou...

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Veröffentlicht in:J. Math. Phys. (N. Y.), 9: 1188-1201(Aug. 1968) 9: 1188-1201(Aug. 1968), 1968-01, Vol.9 (8), p.1188-1201
Hauptverfasser: Pajas, P., Rączka, R.
Format: Artikel
Sprache:eng
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Zusammenfassung:The degenerate, irreducible, unitary representations of the compact group Sp(n), characterized by one and two invariant numbers, are considered. The explicit expressions for the basis functions spanning the corresponding representation spaces and the decomposition with respect to the maximal subgroup are given.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1664699