**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

**Galois Groups and Fundamental Groups**

by

**Leila Schneps**-

**Cambridge University Press**

This book contains eight articles which focus on presenting recently developed new aspects of the theory of Galois groups and fundamental groups, avoiding classical aspects which have already been developed at length in the standard literature.

(

**14071**views)

**Finite Group Schemes**

by

**Richard Pink**-

**ETH Zurich**

The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch.

(

**10320**views)

**An Elementary Introduction to Groups and Representations**

by

**Brian C. Hall**-

**arXiv**

An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.

(

**19505**views)

**Frobenius Splittings and B-Modules**

by

**Wilberd van der Kallen**-

**Springer**

The course given by the author in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of 'standard' representations.

(

**9331**views)