Abstract
We classify Jet modules for the Lie (super)algebras L=W⋉(g⊗C[t,t−1]), where W is the Witt algebra and g is a Lie superalgebra with an even diagonlizable derivation. Then we give a conceptional method to classify all simple Harish-Chandra modules for L and the map superalgebras, which are of the form L⊗R, where R is a Noetherian unital supercommutative associative superalgebra.
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