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  • 1
    Online-Ressource
    Online-Ressource
    Cambridge :Cambridge University Press,
    UID:
    almafu_9960119866602883
    Umfang: 1 online resource (x, 295 pages) : , digital, PDF file(s).
    ISBN: 0-511-47091-6
    Serie: Cambridge studies in advanced mathematics ; 50
    Inhalt: 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.
    Anmerkung: 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
    Weitere Ausg.: ISBN 0-521-11802-6
    Weitere Ausg.: ISBN 0-521-55177-3
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Buch
    Buch
    Cambridge : Cambridge Univ. Press
    UID:
    b3kat_BV035744809
    Umfang: X, 295 S. , Ill.
    Ausgabe: Digitally print. ed.
    ISBN: 9780521118026 , 9780521551779
    Serie: Cambridge studies in advanced mathematics 50
    Inhalt: "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.
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    RVK:
    Schlagwort(e): Lie-Gruppe ; Topologische Geometrie ; Clifford-Algebra ; Gruppentheorie
    Bibliothek Standort Signatur Verfügbarkeit
    BTU Cottbus Cottbus-Zentralcampus, FreihandFH 28.02.12 P843Verfügbar
    TU Berlin TU Mathematische Fachbibliothek, Freihandbereich15A66/PoVerfügbar
    BibTip Andere fanden auch interessant ...
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