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The de Sitter space is the curved space-time which has been most studied by quantum field theorists because it and the anti-de Sitter space are the unique maximally symmetric curved spacetimes Weinberg, 1972). Dirac Wave Equation in the de Sitter Universe E. A. Notte Cuello
For the representations of the De Sitter group, see 249. Gürsey, F.: Introduction to the De Sitter Group. In: Gürsey, F. (ed.) Group Theoretical Concepts and Methods in Elementary Particle Physics. Gordon and Breach, New York (1965
"Gürsey (1963) presented the Casimir operators for the de Sitter group and concluded by showing that a particle in a de Sitter universe does not have a definite mass and spin, but definite eigenvalues of the two Casimir invariant operators of the group."Dirac Wave Equation in the de Sitter Universe E. A. Notte Cuello et. al.