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Fundamental Lie Algebras and Lie Groups in the Clifford Algebras

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Orthogonal and Symplectic Clifford Algebras

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

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Abstract

In this chapter K = R, Q is non-degenerate of arbitrary signature, dim E = n, C(Q) * is, as before, the multiplicative group of all invertible elements of C(Q), R n has the usual topology and C(Q) has the topology of R n′, n′= 2n .

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Selected references

  1. C. Chevalley, Theory of Lie groups, Princeton University Press, 1946

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  2. S. Helgason, Diferential geometry and Symmetric spaces, Academic Press, 1962

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© 1990 Springer Science+Business Media Dordrecht

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Crumeyrolle, A. (1990). Fundamental Lie Algebras and Lie Groups in the Clifford Algebras. In: Orthogonal and Symplectic Clifford Algebras. Mathematics and Its Applications, vol 57. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7877-6_6

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  • DOI: https://doi.org/10.1007/978-94-015-7877-6_6

  • 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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