Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Roots of a compact Lie group   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.''

3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th