Canonical representations of \(Sp(1, n)\) associated with representations of \(Sp(1)\)

DOI10.1007/s002200050600zbMath0938.22009OpenAlexW2024854223MaRDI QIDQ1297670

Angela Pasquale, Gerrit Van Dijk

Publication date: 14 June 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050600

zbMATH Keywords

canonical representationsirreducible decompositionrestrictionprincipal series representationsspherical transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)

Related Items

The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\), The Berezin form on symmetric $R$-spaces and reflection positivity, Canonical representations associated to hyperbolic spaces. II