Formulas for the eigenvalues of the Laplacian on tensor harmonics on symmetric coset spaces

DOI10.1063/1.526101zbMath0557.35087OpenAlexW2064263781MaRDI QIDQ3222617

Krzysztof Pilch, A. N. Schellekens

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526101

zbMATH Keywords

eigenvaluesLaplacianCasimir operatorsLichnerowicz operatortensor harmonicssymmetric coset space

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Young–tableau methods for Kronecker products of representations of the classical groups
• The Spectra of the Laplace-Beltrami Operator on Compact, Semisimple Lie Groups
• Invariant Affine Connections on Homogeneous Spaces