The spectrum of the Laplacian on forms over a Lie group

DOI10.2140/pjm.1980.90.373zbMath0461.58014OpenAlexW1963791156WikidataQ115230795 ScholiaQ115230795MaRDI QIDQ1152622

Howard D. Fegan

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2140/pjm.1980.90.373

zbMATH Keywords

compact, semi-simple, connected and simply connected Lie groupeigenforms and corresponding eigenvalues of the Laplacianhalf sum of the positive rootshighest weight of an irreducible representationspecturum of the Laplacian on p-forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semisimple Lie groups and their representations (22E46)

Related Items (4)

Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung ⋮ Spectral isolation of naturally reductive metrics on simple Lie groups ⋮ The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory ⋮ The spectrum of one parameter family of operators on the 2-forms on a compact Riemannian manifold

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