[en] The Fierz-Pauli program is carried out for spin-2 in de Sitter space. A spin-s field is associated with an irreducible representation D(E₀,s) of the universal covering group of SO(3,2), with external weight (L₀₅,L₁₂)→(E₀,s). (L₀₅ is the time translation operator). The particular cases D(s+1,s)(s=1,2,...) are characterized by invariance of the field equations under a gauge group and is for this and other reasons called 'the massless case'. The Fierz-Pauli program is carried out for s=2, E₀>3; it fails in the special case E₀=3 only. The limit,as E₀→3, of the Fierz-Pauli field equation agrees with the linearized form of Einstein's gravitational field equation, with cosmological constant lambda=3rho. Here rho is the curvature constant of de Sitter space and the linearization referred to is defined relative to the de Sitter metric. (Auth.)