A treatment of the theory of Clifford algebras that will be welcomed for its clarity and detail.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G2, and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course.
Review of the hardback: 'This book covers material which you would hardly find in such a compact form elsewhere. It is very pleasant to have all these things together and so nicely arranged.' European Mathematical Society Journal
Review of the hardback: 'Plenty of examples make Porteous's book pleasant to read.' Mathematica
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : new. Paperback. The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G2, and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course. Here, Ian Porteous has reworked his previous book on this subject, Topological Geometry, and has expanded and added material to bring the theory of Clifford algebras to the fore. This treatment of the theory of Clifford algebras will be welcomed for its clarity and detail. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521118026
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