**The Octonions**

by John C. Baez

**Publisher**: University of California 2001**Number of pages**: 56

**Description**:

The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics. Here we describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups. We also touch upon their applications in quantum logic, special relativity and supersymmetry.

Download or read it online for free here:

**Download link**

(420KB, PDF)

## Similar books

**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.

(

**6516**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.

(

**7645**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).

(

**5391**views)

**An introduction to Algebra and Topology**

by

**Pierre Schapira**-

**University of Luxemburg**

These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).

(

**6155**views)