Authors: Yucai Su Bin Xin
Publish Date: 2006/12/01
Volume: 151, Issue: 1, Pages: 223-236
Abstract
It is proved that an irreducible quasifinitemathcalW infty module is a highest or lowest weight module or a module of the intermediate series a uniformly bounded indecomposable weightmathcalW infty module is a module of the intermediate series For a nondegenerate additive subgroup Λ ofFn whereF is a field of characteristic zero there is a simple Lie or associative algebraWΛn1 spanned by differential operatorsuD 1 m …D 1 m foru ∈FΓ the group algebra andmi≥0 withsum i = 1n m i geqslant 1 whereDi are degree operators It is also proved that an indecomposable quasifinite weightWΛn1module is a module of the intermediate series if Λ is not isomorphic to ℤ
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