Clifford algebras and the classical groups

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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.



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.

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Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 05 oktober 1995

Aantal pagina's: 308

Illustraties: Nee

Hoofdauteur: Ian R. Porteous

Tweede Auteur: Porteous Ian R.

Co Auteur: Porteous Ian R.

Hoofdredacteur: Bela Bollobás

Tweede Redacteur: W. Fulton

Co Redacteur: A. Katok

Hoofduitgeverij: Cambridge University Press

Extra groot lettertype: Nee

Product breedte: 157 mm

Product hoogte: 23 mm

Product lengte: 236 mm

Studieboek: Ja

Verpakking breedte: 157 mm

Verpakking hoogte: 25 mm

Verpakking lengte: 236 mm

Verpakkingsgewicht: 555 g

EAN: 9780521551779

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