**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

**Smarandache Semigroups**

by

**W. B. Vasantha Kandasamy**-

**American Research Press**

The Smarandache semigroups exhibit properties of both a group and a semigroup simultaneously. This book assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties for reference.

(

**5276**views)

**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.

(

**8994**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.

(

**6939**views)

**Notes on Categories and Groupoids**

by

**P. J. Higgins**-

**Van Nostrand Reinhold**

A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.

(

**9392**views)