Gradient-type differential operators and unitary highest weight representations of SU(p,q)
DOI10.1016/0022-1236(88)90114-0zbMath0678.22004OpenAlexW2014901971MaRDI QIDQ1123994
Mark G. Davidson, Ronald J. Stanke
Publication date: 1988
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(88)90114-0
orthogonal complementCartan decompositionhighest weightsrepresentation spacesmaximal compact subgroupladder representationsunitary highest weight representationsdifferential operator of gradient typeFock realization
Analysis on real and complex Lie groups (22E30) Lie algebras of Lie groups (22E60) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items
Cites Work
- Hermitian symmetric spaces and their unitary highest weight modules
- An integral transform in \(L^ 2\)-cohomology for the ladder representations of U(p,q)
- Knapp-Wallach Szegö integrals and generalized principal series representations: The parabolic rank one case
- The harmonic representation of U(p,q) and its connection with the generalized unit disk
- Gradient-type differential operators and unitary highest weight representations of SU(p,q)
- On singular holomorphic representations
- The last possible place of unitarity for certain highest weight modules
- Szegoe kernels associated with discrete series
- Wave and Dirac operators, and representations of the conformal group
- On the Segal-Shale-Weil representations and harmonic polynomials
- Compactification of arithmetic quotients of bounded symmetric domains
- Dirac operator and the discrete series
- Unitary Structures on Cohomology
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
