Representation of nilpotent locally compact groups

DOI10.1016/0022-1236(79)90030-2zbMath0431.22007OpenAlexW2017102291MaRDI QIDQ1138098

Keith C. Hannabuss

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90030-2

zbMATH Keywords

Kirillov orbit theoryMackey normal subgroupprojective representation theory

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Unitary representations of locally compact groups (22D10) Induced representations for locally compact groups (22D30)

Related Items (13)

The Weyl transformation and quantisation for locally compact abelian groups ⋮ Some aspects of normal quantisation ⋮ T-duality simplifies bulk-boundary correspondence: the noncommutative case ⋮ Nonassociative tori and applications to \(T\)-duality ⋮ KMS states for reduced groups, theta functions and the Powers–Størmer construction ⋮ On the uniqueness of invariant states ⋮ Non-monomial multiplier representations of abelian groups ⋮ A Wiener lemma for the discrete Heisenberg group ⋮ Unnamed Item ⋮ Highest weights, projective geometry, and the classical limit. I: Geometrical aspects and the classical limit ⋮ Characters and contact transformations ⋮ On the group theoretic approach to the canonical anticommutation relations ⋮ A note on the Boson-Fermion correspondence and infinite dimensional groups

Cites Work

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• Unitary representations of solvable Lie groups
• Induced Representations of Locally Compact Groups and Applications
• Projective Representations of Abelian Groups
• The plancherel formula for group extensions II
• On the Form of the Finite-Dimensional Projective Representations of an Infinite Abelian Group
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