On the spectrum of the Laplacian of a left-invariant metric on a Lie group

DOI10.1007/S00605-009-0137-8zbMath1182.22005OpenAlexW2051697275MaRDI QIDQ1034721

Noël Lohoué

Publication date: 6 November 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0137-8

zbMATH Keywords

spectrumLie groupLaplacianinvariant metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Spectrum, resolvent (47A10) Analysis on real and complex Lie groups (22E30) Measures on groups and semigroups, etc. (43A05) General properties and structure of real Lie groups (22E15)

Cites Work

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• The \(L^2\)-index theorem for homogeneous spaces of Lie groups
• The spectrum of the laplacian on a certain nilpotent lie group
• The plancherel formula for group extensions

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