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A description of the topology on the dual space of a nilpotent Lie group

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Publication:790963
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DOI10.2140/pjm.1984.112.135zbMath0535.22008OpenAlexW2060095856WikidataQ115230774 ScholiaQ115230774MaRDI QIDQ790963

Kenneth I. Joy

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.112.135


zbMATH Keywords

nilpotent Lie groupdual spaceKirillov correspondencesubgroup representation pairs


Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Duality theorems for locally compact groups (22D35) Character groups and dual objects (43A40)


Related Items (5)

A Kirillov theory for divisible nilpotent groups ⋮ Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups ⋮ The behavior of Fourier transforms for nilpotent Lie groups ⋮ The primitive ideal space of twisted covariant systems with continuously varying stabilizers ⋮ On the Dual of an Exponential Solvable Lie Group




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