**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

**Algebraic Logic**

by

**H. Andreka, I. Nemeti, I. Sain**

Part I of the book studies algebras which are relevant to logic. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem, and (iii) translating the result back to logic.

(

**11676**views)

**Lectures On Unique Factorization Domains**

by

**P. Samuel**-

**Tata Institute Of Fundamental Research**

In this book we shall study some elementary properties of Krull rings and factorial rings, regular rings (local and factorial), and descent methods (Galoisian descent, the Purely inseparable case, formulae concerning derivations).

(

**6132**views)

**Hopf Algebras, Quantum Groups and Yang-Baxter Equations**

by

**Florin Felix Nichita (ed.)**-

**MDPI AG**

Various aspects of the Yang-Baxter equation, related algebraic structures, and applications are presented. The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed.

(

**580**views)

**An introduction to Noncommutative Projective Geometry**

by

**D. Rogalski**-

**arXiv**

These lecture notes are an expanded version of the author's lectures at a graduate workshop. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.

(

**5190**views)