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Introduction to Octonion and Other Non-Associative Algebras in Physics: Montroll Memorial Lecture Series in Mathematical Physics, cartea 2

Autor Susumo Okubo
en Limba Engleză Paperback – 21 aug 2005
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 gauge theoretic reformulation of Einstein's general relativity theory and similar subjects. Much of the material found in this book is not available in other standard works. This book will be of interest to graduate students and research scientists in physics and mathematics.
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Specificații

ISBN-13: 9780521017923
ISBN-10: 0521017920
Pagini: 152
Ilustrații: 2 b/w illus.
Dimensiuni: 151 x 229 x 9 mm
Greutate: 0.23 kg
Ediția:Revised.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Montroll Memorial Lecture Series in Mathematical Physics

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

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

Descriere

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