Geodesic
The Laplace operator spectrum on connected compact simple rank one and two Lie groups
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 1, pp. 219-234 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper we suggest an algorithm for calculation of the Laplace operator spectrum for real-valued and complex-valued functions defined on a connected compact simple Lie group with a bi-invariant Riemannian metric. By means of the algorithm an explicit calculation of the spectrum is given for all connected compact simple Lie groups of rank one and two.
Keywords: Laplace operator, spectrum, Lie group representation, highest weight, Killing form. 
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     title = {The {Laplace} operator spectrum on connected compact simple rank one and two {Lie} groups},
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V. M. Svirkin. The Laplace operator spectrum on connected compact simple rank one and two Lie groups. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 1, pp. 219-234. http://geodesic.mathdoc.fr/item/UZKU_2010_152_1_a20/

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