2012 Volume 66 Issue 1 Pages 125-141
The orthosymplectic Lie superalgebra osp2,2 is a classical simple Lie superalgebra. Its Lie part forms a copy of the direct sum of sl2 ⊕ so2. In this paper, we first study its structure in detail. Based on the well-known description of irreducible representations of sl2, we obtain the classification of the irreducible representations of osp2,2 subject to some technical restrictions. These irreducible representations actually appear in the natural correspondence of (Op,q, osp2,2) acting on the space S(Rn, Λ∗ ((Rn) ∗ )) of Schwartz class differential forms on Rn.
