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quant-ph2000
Harmonic analysis with respect to heat kernel measure
Brian C. Hall
I review certain results in harmonic analysis for systems whose configuration space is a compact Lie group. The results described involve a heat kernel measure, which plays the sam…
math-ph2000
An Elementary Introduction to Groups and Representations
Brian C. Hall
These notes give an elementary introduction to Lie groups, Lie algebras, and their representations. Designed to be accessible to graduate students in mathematics or physics, they h…