GEOMETRY OF THE OCTONIONS, THE | Taschenbuch | preigu

Cover: 9789811218187 | GEOMETRY OF THE OCTONIONS, THE | Tevian Dray & Corinne A Manogue

Rückseite: 9789811218187 | GEOMETRY OF THE OCTONIONS, THE | Tevian Dray & Corinne A Manogue

Cover: 9789811218187 | GEOMETRY OF THE OCTONIONS, THE | Tevian Dray & Corinne A Manogue

Rückseite: 9789811218187 | GEOMETRY OF THE OCTONIONS, THE | Tevian Dray & Corinne A Manogue

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Sprache: Englisch

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Beschreibung

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.

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.

Details

Erscheinungsjahr:	2020
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9789811218187
ISBN-10:	9811218188
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Tevian Dray & Corinne A Manogue
Hersteller:	World Scientific
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 13 mm
Von/Mit:	Tevian Dray & Corinne A Manogue
Erscheinungsdatum:	05.02.2020
Gewicht:	0,34 kg

Artikel-ID: 117981489

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