Abstract
We show that complex representations of Clifford algebra can always be reduced either to a real or to a quaternionic algebra depending on signature of complex space thus showing that spinors are unavoidably either real Majorana spinors or quaternionic spinors and complex spinors disappear. We use this result to support (1, 3) signature for Minkowski space.
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This article is part of the Topical Collection on Homage to Prof. W. A. Rodrigues Jr. edited by Jayme Vaz Jr..
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Budinich, M. On Complex Representations of Clifford Algebra. Adv. Appl. Clifford Algebras 29, 18 (2019). https://doi.org/10.1007/s00006-018-0930-3
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DOI: https://doi.org/10.1007/s00006-018-0930-3