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Introduction to Octonion and Other Non-Associative Algebras in Physics

Introduction to Octonion and Other Non-Associative Algebras in Physics

Introduction to Octonion and Other Non-Associative Algebras in Physics

Susumo Okubo , University of Rochester, New York
August 2005
Paperback
9780521017923

    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.

    • Mathematical physics, which we know sells well
    • Author very famous in his field
    • No other book on this area of mathematical physics

    Product details

    August 2005
    Paperback
    9780521017923
    152 pages
    229 × 151 × 9 mm
    0.243kg
    2 b/w illus.
    Available

    Table of 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.
      Author
    • Susumo Okubo , University of Rochester, New York