Complex manifolds whose skeletons are semisimple real Lie groups and analytic discrete series representations

DOI10.1007/BF01077140zbMath0449.22018OpenAlexW1974871597WikidataQ115394339 ScholiaQ115394339MaRDI QIDQ1147242

Simon G. Gindikin, Israel M. Gel'fand

Publication date: 1978

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077140

zbMATH Keywords

tube domainsconstruction of discrete series representationsnon-Riemannian symmetric spaces

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items

Holomorphic discrete series for hyperboloids of Hermitian type ⋮ Algebraic analysis of minimal representations ⋮ Noyau de Cauchy-Szegö d'un espace symétrique de type Cayley. (Cauchy-Szegö kernel of a symmetric space of Cayley type.) ⋮ Function spaces on the Ol'shanskiĭ semigroup and the Gel'fand-Gindikin program ⋮ Complex Lie semigroups, Hardy spaces and the Gel'fand-Gindikin program

Cites Work

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• Irreducible unitary representations of the Lorentz group
• Group invariance of Cauchy's formula in several variables
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations