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

Published 11 Nov 2011 in math.FA, math.DG, math.MG, and math.SP | (1111.2643v1)

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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