Abstract
We distinguish a class of irreducible finite representations of the conformal Lie (super)algebras. These representations (called universally defined) are the simplest ones from the computational point of view: a universally defined representation of a conformal Lie (super)algebra L is completely determined by commutation relations of L and by the requirement of associative locality of generators. We describe such representations for conformal superalgebras W n , n ≥ 0 , with respect to a natural set of generators. We also consider the problem for superalgebras K n . In particular, we find a universally defined representation for the Neveu–Schwartz conformal superalgebra K 1 and show that the analogues of this representation for n ≥ 2 are not universally defined.
Published Version
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