Clifford algebras and the classical groups / Ian R. Porteous

Auteur: Porteous, Ian Robertson (1930-2011) - AuteurType de document: MonographieCollection: Cambridge studies in advanced mathematics ; 50Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 1995Description: 1 vol. (X-295 p.) : fig. ; 24 cm ISBN: 0521551773 ; rel. Note: This book has a parent, Ian R. Porteous’ earlier book on Topological Geometry. It extends the study on Clifford algebras, spin groups, Cayley algebra and the triality of Spin(8). As a new topic it contains a study of the conformal groups by the Vahlen matrices... The central theme in the present book is the classification of the reversion and conjugation anti-involutions of the Clifford algebras. ...The book is suitable for the last year of an undergraduate course or the first year of a postgraduate course. As its parent, this book can be expected to become a classic. (Zentralblatt)Bibliographie: Bibliogr. p. 285-288. Index. Sujets MSC: 15A66 Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Clifford algebras, spinors
15-01 Linear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.)
11E88 Number theory -- Forms and linear algebraic groups -- Quadratic spaces; Clifford algebras
81R25 Quantum theory -- Groups and algebras in quantum theory -- Spinor and twistor methods
En-ligne: OA | Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle R 11568-01 / 15 POR (Browse Shelf) Available

This book has a parent, Ian R. Porteous’ earlier book on Topological Geometry. It extends the study on Clifford algebras, spin groups, Cayley algebra and the triality of Spin(8). As a new topic it contains a study of the conformal groups by the Vahlen matrices... The central theme in the present book is the classification of the reversion and conjugation anti-involutions of the Clifford algebras. ...The book is suitable for the last year of an undergraduate course or the first year of a postgraduate course. As its parent, this book can be expected to become a classic. (Zentralblatt)

Bibliogr. p. 285-288. Index

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