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Geometry of the Octonions by Corinne A. Manogue and Tevian Dray (2015, Trade Paperback)

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About this product

Product Identifiers

PublisherWorld Industries Scientific Publishing Co Pte LTD

ISBN-109811218188

ISBN-139789811218187

eBay Product ID (ePID)7038432852

Product Key Features

Number of Pages228 Pages

Publication NameGeometry of the Octonions

LanguageEnglish

SubjectAlgebra / Abstract, Number Theory, Geometry / Algebraic

Publication Year2015

TypeTextbook

Subject AreaMathematics

AuthorCorinne A. Manogue, Tevian Dray

FormatTrade Paperback

Dimensions

Item Height0.5 in

Item Weight11.1 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceTrade

Dewey Edition23

TitleLeadingThe

Dewey Decimal512/.5

SynopsisThere are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics including the remarkable fact that classical supersymmetry only exists in particular spacetime dimensions.