**Infinite-dimensional Lie Algebras**

by Iain Gordon

**Publisher**: University of Edinburgh 2009**Number of pages**: 55

**Description**:

Contents: Central extensions; The Virasoro algebra; The Heisenberg algebra; Enveloping algebras; A little infinite-dimensional surprise; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Classification of generalised Cartanmatrices; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras and Kac-Moody Lie algebras; etc.

Download or read it online for free here:

**Download link**

(780KB, PDF)

## Similar books

**A Course in Universal Algebra**

by

**S. Burris, H.P. Sankappanavar**-

**Springer-Verlag**

Selected topics in universal algebra: an introduction to lattices, the most general notions of universal algebra, a careful development of Boolean algebras, discriminator varieties, the introduction to the basic concepts and results of model theory.

(

**17202**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.

(

**8793**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.

(

**9628**views)

**An Invitation to General Algebra and Universal Constructions**

by

**George M. Bergman**-

**Henry Helson**

From the contents: Free groups; Ordered sets, induction, and the Axiom of Choice; Lattices, closure operators, and Galois connections; Categories and functors; Universal constructions in category-theoretic terms; Varieties of algebras; etc.

(

**9769**views)