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The Dirac spinor in six dimensions

Published online by Cambridge University Press:  24 October 2008

E. A. Lord
E. A. Lord
Affiliation:
Department of Mathematics, King's College, University of London
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Abstract

The spinor representations of the rotation group in a six-dimensional space with indefinite metric are shown to be four-component spinors, which become the usual Dirac spinors when the formalism is restricted to a four-dimensional subspace. Eriksson's work on the five-dimensional Lorentz group is found to result from a restriction of the six-dimensional treatment to a five-dimensional subspace, and the algebraic significance of Eriksson's work is thereby clarified.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 765 - 778
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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