We study the properties of spinors in n dimensions and the consequences of taking Dirac matrices to be Grassmann valued. We find that this yields representations of the sympletic group in n dimensions, which can be interpreted as representations of the orthogonal group in - n dimensions. In particular we find the sympletic analogues of spinorial representations. We also prove that the relation Sp ( n ) ≃ SO (- n ) holds in general.
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Cvitanović et al. (1982) studied this question.
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