Structure of the degenerate principal series on symmetric \(R\)-spaces and small representations

DOI10.1016/j.jfa.2014.01.006zbMath1291.22017arXiv1212.3411OpenAlexW2069383371MaRDI QIDQ2444465

Benjamin Schwarz, Jan Möllers

Publication date: 9 April 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3411

zbMATH Keywords

intertwining operatordegenerate principal seriescomposition seriessmall representationsymmetric \(R\)-space

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (7)

Symmetry breaking operators for line bundles over real projective spaces ⋮ Heisenberg parabolically induced representations of Hermitian Lie groups, part I: Intertwining operators and Weyl transform ⋮ The Berezin form on symmetric $R$-spaces and reflection positivity ⋮ Bessel operators on Jordan pairs and small representations of semisimple Lie groups ⋮ Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups ⋮ Intertwining operators for the generalized principal series on a symmetric 𝑅-space ⋮ Branching laws for small unitary representations of GL(n, ℂ)

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