On a Plancherel formula for certain discrete, finitely generated, torsion-free nilpotent groups

DOI10.2140/PJM.1995.167.313zbMath0842.22011OpenAlexW1988507094MaRDI QIDQ1893302

Carolyn Pfeffer Johnston

Publication date: 4 August 1996

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

Full work available at URL: https://doi.org/10.2140/pjm.1995.167.313

zbMATH Keywords

Plancherel formulaLie algebranilpotent Lie groupcoadjoint orbitrepresentation theorytrace formulaadditive characterfinitely generated torsion-free nilpotent groupelementarily exponentiable

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) 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 (2)

Primitive ideal spaces, characters, and Kirillov theory for discrete nilpotent groups ⋮ The Plancherel formula for countable groups

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