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

Research paper by Irina Zubareva

Indexed on: 03 Feb '16Published on: 03 Feb '16Published in: Mathematics - Differential Geometry



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.