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Division Algebras:

Name: Division Algebras:
Brand: Springer
SKU: 01394427
Price: 208.42 EUR
Availability: InStock
Author: G.M. Dixon
ISBN: 9780792328902

Octonions Quaternions Complex Numbers and the Algebraic Design of Physics

G.M. Dixon

Language

English

Book Hardback

Libristo code: 01394427

Publishers Springer, June 1994

The four real division algebras (reals, complexes, quaternions and octonions) are the most obvious s... Full description

Libristo code: 01394427

504 b

208.42 €

407.64 лв

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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 the design of our physical reality arises from this select mathematical realm. A compelling case for that conviction is presented, a derivation of the standard model of leptons and quarks. The book will be of particular interest to particle and high energy theorists, and to applied mathematicians.