Quasifinite modules of a Lie algebra related to Block type

Abstract: Let be the universal central extension of a graded Lie algebra of Block type. In this paper, it is proved that any quasifinite irreducible -module is either highest weight, lowest weight or uniformly bounded. Furthermore, the quasifinite irreducible highest weight -modules are classified, and the intermediate series -modules are classified and constructed. [Copyright &y& Elsevier]