Abstract
The principle of restraint relativity postulates conservation of physical laws, and leads, by means of a tensorial representation in a Minkowski space, to the “Weyl spinor.” This approach makes use of a Poincaré group, Pauli matrices and Lie algebra, culminating with the Klein- Gordon and Dirac equations. Its main significance is its analogy to Clifford algebra.
The aim of the first part of this text, deliberately intuitive, develops a physical rather than a mathematical point of view. By so doing, it is demonstrated that tensors and Dirac spinors are tools which readily facilitate understanding, greatly simplifying the mathematics.
The second part, more rigorous, treats in a dassical manmer the connection between tensors and Clifford algebra. This is the contribution of A. Roux, who worked alongside Albert Crumeyrolle during their stay in Algiers.
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Charlier, A., Charlier, MF., Roux, A. (1995). Tensors and Clifford Algebra. 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_2
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