**Roots of a Compact Lie Group**

by Kristopher Tapp

**Publisher**: arXiv 2009**Number of pages**: 39

**Description**:

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.

Download or read it online for free here:

**Download link**

(430KB, PDF)

## Similar books

**An Introduction to Lie Group Integrators**

by

**E. Celledoni, H. Marthinsen, B. Owren**-

**arXiv**

The authors give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented ...

(

**4135**views)

**Lecture Notes in Lie Groups**

by

**Vladimir G. Ivancevic, Tijana T. Ivancevic**-

**arXiv**

These notes are designed for a 1-semester third year or graduate course in mathematics, physics, or biology. We give both physical and medical examples of Lie groups. The only necessary background are advanced calculus and linear algebra.

(

**8871**views)

**Notes on Differential Geometry and Lie Groups**

by

**Jean Gallier**-

**University of Pennsylvania**

Contents: Introduction to Manifolds and Lie Groups; Review of Groups and Group Actions; Manifolds; Construction of Manifolds From Gluing Data; Lie Groups, Lie Algebra, Exponential Map; The Derivative of exp and Dynkin's Formula; etc.

(

**10423**views)

**Introduction to Lie Groups and Lie Algebras**

by

**Alexander Kirillov, Jr.**-

**SUNY at Stony Brook**

The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.

(

**12993**views)