The asymptotic expansion of the heat kernel on a compact Lie group
Functional Analysis
2011-11-14 v1 Differential Geometry
Metric Geometry
Spectral Theory
Abstract
Let 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 and the heat trace using Lie algebra methods. The Duflo isomorphism plays a key role.
Cite
@article{arxiv.1111.2643,
title = {The asymptotic expansion of the heat kernel on a compact Lie group},
author = {Seunghun Hong},
journal= {arXiv preprint arXiv:1111.2643},
year = {2011}
}