On some semi-spherical representations of an Hermitian symmetric pair of the tubular type. I: Study in the symmetric algebra

DOI10.1007/BF02320699zbMath0499.22015MaRDI QIDQ1171659

Alain Guillemonat

Publication date: 1980

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154710

zbMATH Keywords

unitary irreducible representationssymmetric algebraHermitian symmetric pairenvelopping algebraK-representationsreal semi-simple connected Lie groupsemi-spherical representationsspherical casetubular caseunitarisation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items

On some semi-spherical representations of an Hermitian symmetric pair of the tubular type. II: Construction of the unitary representations

Cites Work

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• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations