Classification of quasifinite \({\mathcal W}_{\infty}\)-modules (Q2382352)

The authors mainly prove that an irreducible quasifinite \(W_\infty\)-module is a highest or lowest weight module or a module of the intermediate series; a uniformly bounded indecomposable weight \(W_\infty\)-module is a module of the intermediate series. The authors also prove that an indecomposable quasifinite weight \(W(\Lambda, n)\) module is a module of the intermediate series if \(\Lambda\) is not isomorphic to \(\mathbb Z\).