Logo

The Octonions by John C. Baez

The Octonions
by

Publisher: University of California
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.

Home page url

Download or read it online for free here:
Download link
(420KB, PDF)

Similar books

Book cover: Smarandache RingsSmarandache Rings
by - 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.
(7505 views)
Book cover: Workbook in Higher AlgebraWorkbook in Higher Algebra
by
A set of notes for a Higher Algebra course. It covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zorn’s Lemma and some Applications.
(10538 views)
Book cover: Universal Algebra for Computer ScienceUniversal Algebra for Computer Science
by - Wagner Mathematics
A text on universal algebra with a strong emphasis on applications and examples from computer science. The text introduces signatures, algebras, homomorphisms, initial algebras, free algebras, and illustrates them with interactive applications.
(9812 views)
Book cover: An Introduction to the Algebra of QuanticsAn Introduction to the Algebra of Quantics
by - 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.
(4880 views)