**Group Theory: Birdtracks, Lie's, and Exceptional Groups**

by Predrag Cvitanovic

**Publisher**: Princeton University Press 2011**ISBN/ASIN**: 0691118361**ISBN-13**: 9780691118369**Number of pages**: 289

**Description**:

If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional.

Download or read it online for free here:

**Download link**

(4.4MB, PDF)

## Similar books

**Combinatorial Group Theory**

by

**Charles F. Miller III**-

**University of Melbourne**

Lecture notes for the subject Combinatorial Group Theory at the University of Melbourne. Contents: About groups; Free groups and presentations; Construction of new groups; Properties, embeddings and examples; Subgroup Theory; Decision Problems.

(

**15534**views)

**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.

(

**4780**views)

**An Introduction to Group Theory: Applications to Mathematical Music Theory**

by

**Flor Aceff-Sanchez, et al.**-

**BookBoon**

In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.

(

**11121**views)

**Introduction to Arithmetic Groups**

by

**Dave Witte Morris**-

**arXiv**

This revised version of a book in progress on arithmetic groups and locally symmetric spaces contains several additional chapters, including the proofs of three major theorems of G. A. Margulis (superrigidity, arithmeticity, and normal subgroups).

(

**10849**views)