scientific article
From MaRDI portal
Publication:3791378
zbMath0647.22007MaRDI QIDQ3791378
Publication date: 1985
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
unitary representationsprincipal series representationsirreducible admissible representationsgroups of real rank onerepresentation theory of reductive Lie groups
Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)
Related Items (22)
The Kazhdan-Lusztig conjecture for generalized Verma modules ⋮ Resonances of the Laplace operator on homogeneous vector bundles on symmetric spaces of real rank-one ⋮ Weight filtrations for induced representations of real reductive Lie groups ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroups ⋮ Secondary invariants and the singularity of the Ruelle zeta-function in the central critical point ⋮ Residue representations -- the rank one case ⋮ \(K\)-orbits on the flag variety and strongly regular nilpotent matrices ⋮ Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters ⋮ An explicit construction of non-tempered cusp forms on \(\mathrm{O}(1,8n+1)\) ⋮ Unnamed Item ⋮ The spectrum of Kleinian manifolds ⋮ GJMS operators, \(Q\)-curvature, and obstruction tensor of partially integrable CR manifolds ⋮ Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations ⋮ Unnamed Item ⋮ Jacquet modules of principal series generated by the trivial \(K\)-type ⋮ The multiplicities of certain \(K\)-types in spherical representations ⋮ Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups. III: Estimates on n-homology ⋮ LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS ⋮ \(B_{n -1}\)-bundles on the flag variety. I ⋮ On the composition series of the standard Whittaker $(\mathfrak {g},K)$-modules ⋮ Socle filtrations of the standard Whittaker \((\mathfrak{g},K)\)-modules of Spin\((r,1)\)
This page was built for publication:
