The asymptotic expansion of the heat kernel on a compact Lie group
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math.DGmath.MGmath.SP
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heatasymptoticcompactexpansiongroupkernelalgebrabi-invariant
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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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