The asymptotic expansion of the heat kernel on a compact Lie group

2011/11/11 by Hong, Seunghun
#58J05 #58J35 #58J37 #58J50 #58J60 (Primary) 35K08 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1111.2643

Abstract

Let G be a compact connected Lie group equipped with a bi-invariant metric. We calculate the asymptotic expansion of the heat kernel of the laplacian on G and the heat trace using Lie algebra methods. The Duflo isomorphism plays a key role.

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