Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics, Series Number 50) 1st Edition by Ian R. Porteous (PDF)

Description

This book reflects the growing interest in the theory of Clifford algebras and their applications. The author has reworked his previous book on this subject, Topological Geometry, and has expanded and added material. As in the previous version, the author includes an exhaustive treatment of all the generalizations of the classical groups, as well as an excellent exposition of the classification of the conjugation anti-involution of the Clifford algebras and their complexifications. Toward the end of the book, the author introduces ideas from the theory of Lie groups and Lie algebras. This treatment of Clifford algebras will be welcomed by graduate students and researchers in algebra.

User’s Reviews

Editorial Reviews: Review “Porteous’ new book is welcome for its coverage and detail and the reliability of its text. Porteous’ presentation of the subject matter sets a standard by which others may be judged.” Peter R. Law, Mathematical Reviews Book Description A treatment of the theory of Clifford algebras that will be welcomed for its clarity and detail. From the Back Cover 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 G(subscript 2), 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The book is well suited forlearning the relation of clifford algebras with matrix groups. I would have liked more examples of applications

⭐I have not been able to do without this text. It does not remain on long on the shelves of our University Library. A complete and easily understood reference. All that is missing is a companion book on applications and representations.

⭐

Keywords

Free Download Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics, Series Number 50) 1st Edition in PDF format
Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics, Series Number 50) 1st Edition PDF Free Download
Download Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics, Series Number 50) 1st Edition 1995 PDF Free
Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics, Series Number 50) 1st Edition 1995 PDF Free Download
Download Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics, Series Number 50) 1st Edition PDF
Free Download Ebook Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics, Series Number 50) 1st Edition