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

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

2011-11-11

arxiv.org/abs/1111.2643v1

Mathematics

Functional Analysis

Scientific paper

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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