**An Elementary Introduction to Groups and Representations**

by Brian C. Hall

**Publisher**: arXiv 2000**Number of pages**: 128

**Description**:

These notes give an elementary introduction to Lie groups, Lie algebras, and their representations. Designed to be accessible to graduate students in mathematics or physics, they have a minimum of prerequisites. Topics include definitions and examples of Lie groups and Lie algebras, the relationship between Lie groups and Lie algebras via the exponential mapping, the basics of representations theory, the Baker-Campbell-Hausdorff formula, a detailed study of the representations of SU(3), and a brief survey of the representation theory of general semisimple groups.

Download or read it online for free here:

**Download link**

(950KB, PDF)

## Similar books

**Groups Around Us**

by

**Pavel Etingof**-

**Massachusetts Institute of Technology**

These are notes of a mini-course of group theory for high school students. This course covers the most basic parts of group theory with many applications. The notes contain many exercises, which are necessary for understanding the main text.

(

**3408**views)

**Geometry and Group Theory**

by

**Christopher Pope**-

**Texas A&M University**

Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.

(

**17547**views)

**Group Theory**

by

**Ferdi Aryasetiawan**-

**University of Lund**

The text deals with basic Group Theory and its applications. Contents: Abstract Group Theory; Theory of Group Representations; Group Theory in Quantum Mechanics; Lie Groups; Atomic Physics; The Group SU2: Isospin; The Point Groups; The Group SU3.

(

**14115**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.

(

**13104**views)