LMS: 286 Clifford Algebr Spinor 2ed - Brossura

Lounesto

Brossura

ISBN 10: 0521005515 ISBN 13: 9780521005517

Casa editrice: Cambridge University Press, 2008

Riassunto

In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.

Su questo libro

Recensione:

'The author gives a concise but thorough introduction to spinors and Clifford algebras extending from the very beginning to present research ... A very recommendable book for everyone interested in this field.' G. Kowol, Monatschefte fur Mathematik

'This book sets standards in the field of quality and careful notation, especially in the relation of several kinds of spinors. It is highly recommended to teachers and researchers active in this field.' B. Fauser, Zentralblatt für Mathematik

'This book cannot be underestimated in its current influence.' B. Fauser, Zentralblatt für Mathematik

Descrizione del libro:

This is the second edition of Professor Lounesto's unique introduction to Clifford algebras and spinors. The author has added new material and exercises. This book will be of interest to physicists as well as mathematicians and gives the first comprehensive survey of recent research on Clifford algebras.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521005515
• ISBN 13: 9780521005517
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 352