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We classify irreducible representations of finite $W$-algebra of the queerLie superalgebra $Q(n)$ associated with the principal nilpotent coadjointorbits. We use this classification and our previous results to obtain aclassification of simple finite-dimensional representations of the superYangian $YQ(1)$.

Representations of principal $W$-algebra for the superalgebra $Q(n)$ and the super Yangian $YQ(1)$