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The Clifford Groups, the Twisted Clifford Groups and Their Fundamental Subgroups

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Orthogonal and Symplectic Clifford Algebras

Part of the book series: Mathematics and Its Applications ((MAIA,volume 57))

Abstract

E is an n-dimensional vector space over K with quadratic form Q. In sections 1 and 2 we will assume that Q is non-degenerate.

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Selected references

  1. N. Bourbaki, Algèbre, Chapitre 9, Hermann, Paris, 1959.

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  2. C. Chevalley, The algebraic theory of spinors, Columbia University Press.

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  3. A. Crumeyrolle, Algèbres de Clifford dégénérées et revêtements des groupes conformes affines orthogonaux et symplectiques, Ann. Inst. Poincaré, Vol. 33, no. 3, 1980, pp. 235–249.

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  4. M. Karoubi, Algèbres de Clifford et K-théorie, Ann. Scient. Ec. Norm. Sup., 4ème série, t. 1, 1968, pp. 161–270.

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  5. J. Popovici, Représentations irréductibles des fibrés de Clifford, Ann. Inst. H. Poincaré, Vol. 25, no 1, 1976, pp. 35–39.

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© 1990 Springer Science+Business Media Dordrecht

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Crumeyrolle, A. (1990). The Clifford Groups, the Twisted Clifford Groups and Their Fundamental Subgroups. In: Orthogonal and Symplectic Clifford Algebras. Mathematics and Its Applications, vol 57. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7877-6_4

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  • DOI: https://doi.org/10.1007/978-94-015-7877-6_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4059-6

  • Online ISBN: 978-94-015-7877-6

  • eBook Packages: Springer Book Archive

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