Stepwise square integrable representations of nilpotent Lie groups

DOI10.1007/S00208-013-0925-2zbMath1281.22002OpenAlexW2029267215WikidataQ115388939 ScholiaQ115388939MaRDI QIDQ378835

Joseph A. Wolf

Publication date: 12 November 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-013-0925-2

zbMATH Keywords

unitary representationnilpotent Lie groupcharacter formulae

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25)

Related Items (7)

Stepwise Square Integrable Representations: The Concept and Some Consequences ⋮ On the analytic structure of commutative nilmanifolds ⋮ Solvability, structure, and analysis for minimal parabolic subgroups ⋮ Topological aspects of group $C^*$-algebras ⋮ Stepwise square integrable representations for locally nilpotent Lie groups ⋮ Coadjoint orbits of stepwise square integrable representations ⋮ Stepwise Square Integrability for Nilradicals of Parabolic Subgroups and Maximal Amenable Subgroups

Cites Work

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• Riemannian nilmanifolds attached to Clifford modules
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• On the characters and the Plancherel formula of nilpotent groups
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Classification and Fourier inversion for parabolic subgroups with square integrable nilradical
• Square Integrable Representations of Nilpotent Groups
• Abelian hypercomplex structures on central extensions of \(H\)-type Lie algebras.

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