Authors:John Horton Conway, Derek Smith,
Publisher: AK Peters
Keywords: octonions, quaternions
Number of Pages: 159
Published: 2003-01-01
List price: $39.00
ISBN-10: 1568811349
ISBN-13: 9781568811345

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 loop

Author: Alex. Mcaulay
Publisher: BiblioLife
Keywords: quaterninons, clifford, development, octonions
Number of Pages: 270
Published: 2009-06-04
List price: $24.99
ISBN-10: 1110520956
ISBN-13: 9781110520954

Author: G.M. Dixon
Publisher: Springer
Keywords: design, physics, mathematics, applications, algebraic, numbers, algebras, octonions, quaternions, complex, division
Number of Pages: 248
Published: 1994-06-30
List price: $115.00
ISBN-10: 0792328906
ISBN-13: 9780792328902

The four real division algebras (reals, complexes, quaternions and octonions) are the most obvious signposts to a rich and intricate realm of select and beautiful mathematical structures. Using the new tool of adjoint division algebras, with respect to which the division algebras themselves appear in the role of spinor spaces, some of these structures are developed, including parallelizable spheres, exceptional Lie groups, and triality. In the case of triality the use of adjoint octonions greatly simplifies its investigation. Motivating this work, however, is a strong conviction that t

Authors:Tonny A. Springer, Ferdinand D. Veldkamp,
Publisher: Springer
Keywords: springer, monographs, mathematics, groups, exceptional, jordan, algebras, octonions
Number of Pages: 208
Published: 2000-06-16
List price: $129.00
ISBN-10: 3540663371
ISBN-13: 9783540663379

The 1963 G"ttingen 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, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the group-theoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra.