Introduction to Octonion and Other Non-Associative Algebras in Physics

ISBN-13: 9780521472159 / Angielski / Twarda / 1995 / 152 str.

Susumo Okubo; S. Okubo

Opis

In this book, the author applies non-associative algebras to physics. Okubo covers topics ranging from algebras of observables in quantum mechanics and angular momentum and octonions to division algebra, triple-linear products and YangSHBaxter equations. He also discusses the non-associative gauge theoretic reformulation of Einstein's general relativity theory. Much of the material found in this volume is not available in other works. The book will therefore be of great interest to graduate students and research scientists in physics and mathematics.

Recenzje

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

Spis treści

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.