Geometry Of The Octonions, The (Paperback)

Tevian Dray

ISBN 10: 9811218188 / ISBN 13: 9789811218187

Published by World Scientific Publishing Co Pte Ltd, Singapore, 2015

About this Item

Paperback. There 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9789811218187

Bibliographic Details

• Title: Geometry Of The Octonions, The (Paperback)
• Publisher: World Scientific Publishing Co Pte Ltd, Singapore
• Publication Date: 2015
• Language: English
• ISBN 10: 9811218188
• ISBN 13: 9789811218187
• Binding: Paperback
• Condition: new

About this title

Synopsis

There 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.