Clifford algebras and the classical groups

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-involution...

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Detalles Bibliográficos
Otros Autores: Porteous, Ian R., autor (autor)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press 1995.
Colección:CUP ebooks.
Cambridge studies in advanced mathematics ; 50.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b45437002*spi
Descripción
Sumario: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.
Descripción Física:1 recurso electrónico (x, 295 páginas)
Formato:Forma de acceso: World Wide Web.
ISBN:9780511470912