Representations of certain semidirect product groups

DOI10.1016/0022-1236(75)90062-2zbMath0311.22021OpenAlexW2169340277MaRDI QIDQ1219373

Joseph A. Wolf

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90062-2

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Cohomology theory for linear algebraic groups (20G10)

Related Items (8)

Hermitian Lie Algebras and Metaplectic Representations. I ⋮ Square Integrable Representations and a Plancherel Theorem for Parabolic Subgroups ⋮ Solvability, structure, and analysis for minimal parabolic subgroups ⋮ Born reciprocity and the granularity of spacetime ⋮ Infinite dimensional multiplicity free spaces. III: Matrix coefficients and regular functions ⋮ BORN RECIPROCITY IN TWO DIMENSIONS: QUAPLECTIC GROUP SYMMETRY, BRANCHING RULES AND STATE LABELLING ⋮ Sharp inequalities for Weyl operators and Heisenberg groups ⋮ The Plancherel formula for parabolic subgroups

Cites Work

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• On the reduction of the regular representation of The Poincaré group
• On the characters and the Plancherel formula of nilpotent groups
• Unitary representations of a semi-direct product of Lie groups on \(\bar\partial\)-cohomology spaces
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Représentations du groupe de Heisenberg dans les espaces de \((O,q)\) formes
• Induced representation of locally compact groups. I
• Borel Structure in Groups and Their Duals
• Square Integrable Representations of Nilpotent Groups
• Infinite-dimensional group representations
• Sur les extensions des représentations irréductibles des groupes de Lie nilpotents
• The plancherel formula for group extensions II
• Imprimitivity for Representations of Locally Compact Groups I

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