Harmonically induced representations of solvable Lie groups

DOI10.1016/0022-1236(85)90017-5zbMath0602.22008OpenAlexW2100616220MaRDI QIDQ1081708

Michèle Vergne, Jonathan M. Rosenberg

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90017-5

zbMATH Keywords

Heisenberg grouppolarizationsirreducible representationsorbit methoddiscrete series for semisimple Lie groupsharmonic induction

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (9)

The metaplectic correction in geometric quantization ⋮ Realization of representations of completely solvable Lie groups in spaces of \(L^ 2\) harmonic forms ⋮ Coherent state representations. A survey ⋮ Formes harmoniques et cohomologie relative des algèbres de Lie ⋮ Some remarks on homogeneous Kähler manifolds ⋮ Holomorphically induced representations of some solvable Lie groups ⋮ Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone ⋮ Holomorphically induced representations of exponential Lie groups ⋮ Duflo's conjecture for the branching problem to the Iwasawa \(AN\)-subgroup of a semisimple Lie group

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