**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

**Finite Rank Torsion Free Modules Over Dedekind Domains**

by

**E. Lee Lady**-

**University of Hawaii**

Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.

(

**4492**views)

**Groups as Graphs**

by

**W. B. V. Kandasamy, F. Smarandache**-

**CuArt**

In this book, for the first time, the authors represented every finite group in the form of a graph. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.

(

**6520**views)

**An Introduction to the Theory of Groups of Finite Order**

by

**Harold Hilton**-

**Oxford Clarendon Press**

This book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra. I have tried to lighten for him the initial difficulties.

(

**1017**views)

**Lie groups and Lie algebras**

by

**N. Reshetikhin, V. Serganova, R. Borcherds**-

**UC Berkeley**

From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.

(

**6611**views)