Roots of a compact Lie group

Details Roots of a compact Lie group Roots of a compact Lie group

2009-08-28

arxiv.org/abs/0908.4117v1

Mathematics

Differential Geometry

Scientific paper

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.''

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