**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

**New Directions in Hopf Algebras**

by

**S. Montgomery, H. Schneider**-

**Cambridge University Press**

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras, and other areas. The book gives a clear picture of the current trends, with a focus on what will be important in future research.

(

**11668**views)

**Set Theoretic Approach to Algebraic Structures in Mathematics**

by

**W. B. Vasantha Kandasamy, Florentin Smarandache**-

**Educational Publisher**

This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces.

(

**10960**views)

**Smarandache Rings**

by

**W. B. Vasantha Kandasamy**-

**American Research Press**

The author embarked on writing this book on Smarandache rings (S-rings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several important and innovative properties about S-rings.

(

**12320**views)

**Hopf Algebras in General and in Combinatorial Physics: a practical introduction**

by

**G.H.E. Duchamp, et al.**-

**arXiv**

This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics.

(

**9289**views)