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Crumeyrolle-Chevalley-Riesz Spinors and Covariance

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Clifford Algebras and Spinor Structures

Part of the book series: Mathematics and Its Applications ((MAIA,volume 321))

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Abstract

Clifford algebras in physics are usually multivector algebras generated by the basis of a real vector space. However, vectors can be formed from products of spinors and are thus elements in an algebra generated from a spinor basis. The resulting spinor algebra is structurally identical with the usual multivector Clifford algebra; functionally, the spinor algebra includes the multivector algebra as a subalgebra.

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© 1995 Springer Science+Business Media Dordrecht

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Jones, G., Baylis, W.E. (1995). Crumeyrolle-Chevalley-Riesz Spinors and Covariance. In: Ablamowicz, R., Lounesto, P. (eds) Clifford Algebras and Spinor Structures. Mathematics and Its Applications, vol 321. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8422-7_7

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  • DOI: https://doi.org/10.1007/978-94-015-8422-7_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4525-6

  • Online ISBN: 978-94-015-8422-7

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