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Tensor Algebras, Exterior Algebras and Symmetric 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

We will consider real or complex vector spaces (K = R or C), E 1, E 2, ..., E r of dimensions n 1, n 2, ..., n p. In this first part, we will only recall some results, omitting all proofs, only to specify our definitions, our notations and our methods. We will assume that the reader is already somewhat familiar with tensor algebras.

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Selected references

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

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  2. A. Lichnerowicz, Elements de calcul tensoriel, A. Colin, Paris, 1958.

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  3. D. Kastler, Introduction a Velectrodynamique quantique, Dunod, Paris, 1961.

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© 1990 Springer Science+Business Media Dordrecht

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Crumeyrolle, A. (1990). Tensor Algebras, Exterior Algebras and Symmetric 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_2

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  • DOI: https://doi.org/10.1007/978-94-015-7877-6_2

  • 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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