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Authors: J.P. Ward
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In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics. I freely admit that though the rea
On Quaternions and Octonions
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Authors: John H. Conway
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This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special pro
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This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse
Introduction to Octonion and Other Non-Associative Algebras in Physics
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Authors: Susumu Okubo
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Type: BOOK - Published: 1995-08-03 - Publisher: Cambridge University Press

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In this book, the author aims to familiarize researchers and graduate students in both physics and mathematics with the application of non-associative algebras
Octonions, Jordan Algebras and Exceptional Groups
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Authors: Tonny A. Springer
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The 1963 Göttingen notes of T. A. Springer are well known in the field but have been unavailable for some time. This book is a translation of those notes, comp