The spectrum of the Laplace operator on connected compact simple rank three Lie groups

Valera Berestovskii; Irina Zubareva; Victor Svirkin

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arXiv · 1511.03872

The spectrum of the Laplace operator on connected compact simple rank three Lie groups

Valera Berestovskii·Irina Zubareva·Victor Svirkin

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Abstract

In this paper are given explicit calculations of Laplace operator spectrum for smooth real/complex-valued functions on all connected compact simple rank three Lie groups with biinvariant Riemannian metric and established a connection of obtained formulas with the number theory and integer ternary and binary quadratic forms.

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BibTeX RIS

Valera Berestovskii, Irina Zubareva, Victor Svirkin. 2016-02-03. The spectrum of the Laplace operator on connected compact simple rank three Lie groups. https://arxiv.org/abs/1511.03872

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