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  • 1
    Online Resource
    Online Resource
    Cambridge :Cambridge University Press,
    UID:
    almafu_9960119866602883
    Format: 1 online resource (x, 295 pages) : , digital, PDF file(s).
    ISBN: 0-511-47091-6
    Series Statement: Cambridge studies in advanced mathematics ; 50
    Content: 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.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , 1. Linear spaces -- 2. Real and complex algebras -- 3. Exact sequences -- 4. Real quadratic spaces -- 5. The classification of real quadratic spaces -- 6. Anti-involutions of R(n) -- 7. Anti-involutions of C(n) -- 8. Quaternions -- 9. Quaternionic linear spaces -- 10. Anti-involutions of H(n) -- 11. Tensor products of algebras -- 12. Anti-involutions of [superscript 2]K(n) -- 13. The classical groups -- 14. Quadric Grassmannians -- 15. Clifford algebras -- 16. Spin groups -- 17. Conjugation -- 18. 2 x 2 Clifford matrices -- 19. The Cayley algebra -- 20. Topological spaces -- 21. Manifolds -- 22. Lie groups -- 23. Conformal groups -- 24. Triality. , English
    Additional Edition: ISBN 0-521-11802-6
    Additional Edition: ISBN 0-521-55177-3
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Book
    Book
    Cambridge : Cambridge Univ. Press
    UID:
    b3kat_BV035744809
    Format: X, 295 S. , Ill.
    Edition: Digitally print. ed.
    ISBN: 9780521118026 , 9780521551779
    Series Statement: Cambridge studies in advanced mathematics 50
    Content: "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."--Cover.
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Lie-Gruppe ; Topologische Geometrie ; Clifford-Algebra ; Gruppentheorie
    Library Location Call Number Availability
    BTU Cottbus Cottbus-Zentralcampus, FreihandFH 28.02.12 P843available
    TU Berlin TU Mathematische Fachbibliothek, Freihandbereich15A66/Poborrowed
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