A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group

DOI10.1007/BF01389414zbMath0501.22019WikidataQ115393624 ScholiaQ115393624MaRDI QIDQ1172160

Henrik Schlichtkrull

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142942

zbMATH Keywords

semisimple symmetric spacesdiscrete seriesEisenstein integrals

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (11)

Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space ⋮ Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications ⋮ Boundary values of holomorphic functions, singular unitary representations of \(O(p,q)\), and their limits as \(q\to\infty\) ⋮ Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups ⋮ INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS ⋮ Cohomologically induced distinguished representations and cohomological test vectors ⋮ On the Discrete Series of Generalized Stiefel Manifolds ⋮ Unnamed Item ⋮ Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory ⋮ Unitary derived functor modules with small spectrum ⋮ On some series of representations related to symmetric spaces

Cites Work

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• Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
• The algebraic structure of the representation of semisimple Lie groups. I
• Reducibility of generalized principal series representations
• Discrete series for semisimple symmetric spaces
• Representations of real reductive Lie groups
• The Langlands parameters of Flensted-Jensen's discrete series for semisimple symmetric spaces
• A duality for symmetric spaces with applications to group representations
• Finite- and Infinite-Dimensional Representations of Linear Semisimple Groups
• Representations of a Semisimple Lie Group on a Banach Space. I

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