Embeddings of unitary highest weight representations and generalized Dirac operators

DOI10.1007/s002080050053zbMath0882.22014OpenAlexW1991278757MaRDI QIDQ1359506

Thomas J. Enright, Nolan R. Wallach

Publication date: 2 March 1998

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050053

zbMATH Keywords

intertwining operatorLie algebraHermitian symmetric spacereal Lie groupdegenerate principal seriesgeneralized Dirac operator

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (5)

Conformally invariant systems of differential operators associated to maximal parabolics of quasi-Heisenberg type ⋮ Cauchy conformal fields in dimensions \({d > 2}\) ⋮ Schrödinger-type equations and unitary highest weight representations of the metaplectic group ⋮ Unitary Hecke algebra modules with nonzero Dirac cohomology ⋮ Generalized MICZ-Kepler problems and unitary highest weight modules

This page was built for publication: Embeddings of unitary highest weight representations and generalized Dirac operators