**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, Serre’s 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

**On Lie Algebras Of Prime Characteristic**

by

**George B. Seligman**-

**American Mathematical Society**

The purpose of the present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero.

(

**1068**views)

**Workbook in Higher Algebra**

by

**David Surowski**

A set of notes for a Higher Algebra course. It covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zorn’s Lemma and some Applications.

(

**11226**views)

**Infinite-dimensional Lie Algebras**

by

**Iain Gordon**-

**University of Edinburgh**

Contents: Central extensions; Virasoro algebra; Heisenberg algebra; Enveloping algebras; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras.

(

**7780**views)

**Clifford Algebra, Geometric Algebra, and Applications**

by

**Douglas Lundholm, Lars Svensson**-

**arXiv**

These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.

(

**8722**views)