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We obtain an embedding of a one-parameter family of exceptional simple Liesuperalgebras $D(2, 1 ; \alpha)$ into the Lie superalgebra ofpseudodifferential symbols on the supercircle $S^{1|2}$. Correspondingly, thereis an embedding of $D(2, 1 ; \alpha)$ into a nontrivial central extension ofthe derived contact superconformal algebra $K'(4)$ realized in terms of$4\times 4$ matrices over a Weyl algebra.

Embedding of the Lie superalgebra $D(2, 1 ; \alpha)$ into the Lie superalgebra of pseudodifferential symbols on $S^{1|2}$