Book Description
An investigation of the geometry of quaternion and octonion algebras, this book is intended for mathematicians, physicists, and crystallographers at any level--from undergraduate to professional--who are interested in the symmetries of low-dimensional space.
The book can also be used as a text for graduate courses in many mathematical fields, including geometry, group theory, algebra, and number theory.
A Selection of Topics Covered:
The geometry of complex numbers
Quaternions and 3-dimensional groups
Quaternions and 4-dimensional groups
The Hurwitz integral quaternions
Moufang loops
Octonions and 8-dimensional geometry
Integral octonions
The octonion projective plane
JA Majors Book Info
Text investigates the geometry of the quaternion and octonion algebras. The arithmetics of the quaternions and octonions are also described, and the book concludes with a new theory of octonion factorization.
