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We distinguish a class of irreducible finite representations of conformal Lie(super)algebras. These representations (called universally defined) are thesimplest ones from the computational point of view: a universally definedrepresentation of a conformal Lie (super)algebra $L$ is completely determinedby commutation relations of $L$ and by the requirement of associative localityof generators. We describe such representations for conformal superalgebras$W_n$, $n\ge 0$, with respect to a natural set of generators. We also considerthe problem for superalgebras $K_n$. In particular, we find a universallydefined representation for the Neveu--Schwartz conformal superalgebra $K_1$ andshow that the analogues of this representation for $n\ge 2$ are not universallydefined.

Universally defined representations of Lie conformal superalgebras