The spectrum of the Laplace operator on connected compact simple rank four Lie groups. I

Irina Zubareva

paper

The spectrum of the Laplace operator on connected compact simple rank four Lie groups. I

arXiv:1601.02330

Abstract

In this paper are given explicit calculations of Laplace operator spectrum for smooth real/complex-valued functions on all connected compact simple rank four Lie groups with biinvariant Riemannian metric, corresponding to root systems $B_{4}$ , $C_{4}$ , $D_{4}$ and established a connection of obtained formulas with the number theory and integer quadratic forms from two, three and four variables.

arXiv comment33 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1511.03872