**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

**An Introduction to the Algebra of Quantics**

by

**E.B. Elliott**-

**The Clarendon Press**

The primary object of this book is that of explaining with all the clearness at my command the leading principles of invariant algebra, in the hope of making it evident to the junior student that the subject is attractive as well as important.

(

**4876**views)

**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.

(

**7101**views)

**A Treatise on the Theory of Invariants**

by

**Oliver E. Glenn**-

**Project Gutenberg**

The object of this book is to present in a volume of medium size the fundamental principles and processes and a few of the multitudinous applications of invariant theory, with emphasis upon both the nonsymbolical and the symbolical method.

(

**6129**views)

**The Construction and Study of Certain Important Algebras**

by

**Claude Chevalley**-

**The Mathematical Society Of Japan**

This is the reproduction of the beautiful lectures delivered by Professor C. Chevalley at the University of Tokyo in April-June 1954. Contents: Graded algebras; Tensor algebras; Clifford algebras; Some applications of exterior algebras.

(

**4596**views)