**Introduction to Lie Groups and Lie Algebras**

by Alexander Kirillov, Jr.

**Publisher**: SUNY at Stony Brook 2010**ISBN/ASIN**: 0521889693**Number of pages**: 136

**Description**:

The book covers the basic 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. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras.

Download or read it online for free here:

**Download link**

(1MB, 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.

(

**13625**views)

**Thin Groups and Superstrong Approximation**

by

**Emmanuel Breuillard, Hee Oh (eds.)**-

**Cambridge University Press**

This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.

(

**5241**views)

**Congruence Lattices of Finite Algebras**

by

**William DeMeo**-

**arXiv**

We review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist...

(

**8174**views)

**Group Theory**

by

**J. S. Milne**

Contents: Basic Definitions and Results; Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Subnormal Series; Solvable and Nilpotent Groups; Representations of Finite Groups.

(

**12337**views)