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

2016/01/11 by Zubareva, Irina
#53 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/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 B₄, C₄, D₄ and established a connection of obtained formulas with the number theory and integer quadratic forms from two, three and four variables.

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