The spectra of the Laplace operators on connected compact simple Lie groups of rank 3 |
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| Authors: | V. N. Berestovskiĭ I. A. Zubareva V. M. Svirkin |
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| Affiliation: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia;2.Sobolev Institute of Mathematics,Omsk Division, Omsk,Russia;3.Omsk State University,Omsk,Russia |
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| Abstract: | 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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