Composition Factors of the Principal Series Representations of the Group Sp(n, 1)

Composition Factors of the Principal Series Representations of the Group Sp(n, 1)

Using Vogan's algorithm the composition factors of any principal series representation of the group Sp(n, 1) are determined.

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Veröffentlicht in:Transactions of the American Mathematical Society 1980-12, Vol.262 (2), p.447-471, Article 447
Hauptverfasser: Silva, M. W. Baldoni, Kraljevic, H.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Complex roots
Induction assumption
Infinite series
Lie groups
Mathematical theorems
Moral character
Series convergence
Subalgebras
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Beschreibung
Zusammenfassung:Using Vogan's algorithm the composition factors of any principal series representation of the group Sp(n, 1) are determined.
ISSN:0002-9947
1088-6850
DOI:10.2307/1999839