Geodesic
The spectra of the Laplace operators on connected compact simple Lie groups of rank~3
Matematičeskie trudy, Tome 19 (2016) no. 1, pp. 3-45

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We expose explicit calculations of the spectra of the Laplace operators for smooth real or complex functions on all connected compact simple Lie groups of rank 3 with bi-invariant Riemannian metric and establish the relationship of the obtained formulas with number theory and integer-valued ternary and binary quadratic forms. 
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V. N. Berestovskii; I. A. Zubareva; V. M. Svirkin. The spectra of the Laplace operators on connected compact simple Lie groups of rank~3. Matematičeskie trudy, Tome 19 (2016) no. 1, pp. 3-45. http://geodesic.mathdoc.fr/item/MT_2016_19_1_a0/