Physics – Mathematical Physics
Scientific paper
2005-08-25
Phys.Lett. B631 (2005) 187-191
Physics
Mathematical Physics
7 pages
Scientific paper
10.1016/j.physletb.2005.10.008
A group structure of the discrete transformations (parity, time reversal and charge conjugation) for spinor field in de Sitter space are studied in terms of extraspecial finite groups. Two $CPT$ groups are introduced, the first group from an analysis of the de Sitter-Dirac wave equation for spinor field, and the second group from a purely algebraic approach based on the automorphism set of Clifford algebras. It is shown that both groups are isomorphic to each other.
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