**Introduction to Lie Groups, Adjoint Action and Some Generalizations**

by Marcos M. Alexandrino, Renato G. Bettiol

**Publisher**: arXiv 2010**Number of pages**: 129

**Description**:

The main purpose of these lecture notes is to provide a concise introduction to Lie groups, Lie algebras, and isometric and adjoint actions, aiming mostly at advanced undergraduate and graduate students. A special focus is given to maximal tori and roots of compact Lie groups, exploring its connection with isoparametric submanifolds and polar actions.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**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.

(

**10608**views)

**Lectures on Discrete Subgroups of Lie Groups**

by

**G.D. Mostow**-

**Tata Institute of Fundamental Research**

Contents: Preliminaries; Complexification of a real Linear Lie Group; Intrinsic characterization of K* and E; R-regular elements; Discrete Subgroups; Some Ergodic Properties of Discrete Subgroups; Real Forms of Semi-simple Algebraic Groups; etc.

(

**5587**views)

**Introductory Treatise On Lie's Theory Of Finite Continuous Transformation Groups**

by

**John Edward Campbell**-

**Oxford Clarendon Press**

In this treatise an attempt is made to give, in as elementary a form as possible, the main outlines of Lie's theory of Continuous Groups. Even those familiar with the theory may find something new in the form in which the theory is here presented.

(

**4160**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.

(

**6696**views)