**Lie Algebras**

by Shlomo Sternberg

2004**Number of pages**: 198

**Description**:

The Campbell Baker Hausdorff formula, sl(2) and its representations, classical simple algebras, Engel-Lie-Cartan-Weyl, conjugacy of Cartan subalgebras, simple finite dimensional algebras, cyclic highest weight modules, Serreās theorem, Clifford algebras and spin representations, Kostant Dirac operator, the center of U(g).

Download or read it online for free here:

**Download link**

(0.9MB, PDF)

## Similar books

**Commutator Theory for Congruence Modular Varieties**

by

**Ralph Freese, Ralph McKenzie**-

**Cambridge University Press**

This book presents the basic theory of commutators in congruence modular varieties and some of its strongest applications. The authors take an algebraic approach, using some of the shortcuts that Taylor and others have discovered.

(

**9890**views)

**An introduction to Algebra and Topology**

by

**Pierre Schapira**-

**University of Luxemburg**

These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).

(

**8627**views)

**Smarandache Semirings, Semifields and Semivector Spaces**

by

**W. B. Vasantha Kandasamy**-

**American Research Press**

This is the first book on the Smarandache algebraic structures that have two binary operations. Semirings are algebraic structures with two binary operations enjoying several properties and it is the most generalized structure.

(

**10267**views)

**An Introduction to Nonassociative Algebras**

by

**Richard D. Schafer**-

**Project Gutenberg**

Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students.

(

**11177**views)