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Introduction to Octonion and Other Non-Associative Algebras in Physics

Author: Susumo Okubo; Cambridge University Press.
Publisher: Cambridge : Cambridge University Press, 1995.
Series: Montroll Memorial Lecture Series in Mathematical Physics, no. 2; Montroll memorial lecture series in mathematical physics, no. 2.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
In this book, the author aims to familiarise researchers and graduate students, in both physics and mathematics, with the application of non-associative algebras in physics. Topics covered by the author are wide-ranging to include algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and Yang-Baxter equations. The author also covers non-associative  Read more...
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Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Susumo Okubo; Cambridge University Press.
ISBN: 9780511524479 0511524471
OCLC Number: 668203984
Notes: Title from publishers bibliographic system (viewed on 10 Sep 2010).
Description: 1 online resource (152 pages) : digital, PDF file(s).
Details: Mode of access: World Wide Web.
Contents: 1. Introduction; 2. Non-associative algebras; 3. Hurwitz theorems and octonions; 4. Para-Hurwitz and pseudo-octonion algebras; 5. Real division algebras and Clifford algebra; 6. Clebsch-Gordon algebras; 7. Algebra of physical observables; 8. Triple products and ternary systems; 9. Non-associative gauge theory; 10. Concluding remarks.
Series Title: Montroll Memorial Lecture Series in Mathematical Physics, no. 2; Montroll memorial lecture series in mathematical physics, no. 2.
Other Titles: Cambridge books online.
Responsibility: Susumo Okubo.

Abstract:

A book for both physicists and mathematicians dealing with the application of non-associative algebras in physics.  Read more...

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"This book will remain an excellent source for applications of nonassociative algebras in physics for a long time." Hyo C. Myung, Mathematical Reviews

 
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