Indecomposable representations of the Lie algebra of derivations for d-torus

Abstract

Let DerA be the Lie algebra of derivations of the d-torus ABy applying ShenLarsson's functors we get a class of indecomposable DerA-modules from finite-dimensional indecomposable gl d -modules. We also give a complete description of the submodules of these indecomposable DerA-modules. Our results generalize those obtained by Rao.