Roots of a compact Lie group
Differential Geometry
2009-08-31 v1 History and Overview
Abstract
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions. Some familiarity with matrix groups and with maximal tori is assumed. This article is self-contained, but is also intended to serve as a supplemental 10th chapter of an eventual new edition of my textbook, ``Matrix Groups for Undergraduates.''
Cite
@article{arxiv.0908.4117,
title = {Roots of a compact Lie group},
author = {Kristopher Tapp},
journal= {arXiv preprint arXiv:0908.4117},
year = {2009}
}