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arXiv · 1111.2643

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

Seunghun Hong
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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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Seunghun Hong. 2011-11-11. The asymptotic expansion of the heat kernel on a compact Lie group. https://arxiv.org/abs/1111.2643

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