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

DOI10.1007/BF01420161zbMath0499.22016MaRDI QIDQ1171660

Alain Guillemonat

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163330

zbMATH Keywords

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

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

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Degenerate principal series and invariant distributions, -ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS, Explicit Hilbert spaces for certain unipotent representations, Unnamed Item, On the Siegel-Weil formula for unitary groups, Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations, Jordan algebras and Capelli identities

Cites Work

• On some semi-spherical representations of an Hermitian symmetric pair of the tubular type. I: Study in the symmetric algebra
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
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