Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle

Abstract

Abstract. We prove that an irreducible quasifinite module over the central extension of the Lie algebra of N ×N -matrix differential operators on the circle is either a highest or lowest weight module or else a module of the intermediate series. Furthermore, we give a complete classification of indecomposable uniformly bounded modules.

Simple Modules for Modular Lie SuperalgebrasW(0∣n),S(0∣n)Zhu1, Zhang2, Zhang3 et al. 2015Advances in Mathematical Physics0000View full textAdd to dashboardCite

“…Su (see [8][9][10][11][12]) got a new class of nongraded simple Lie algebras. It was proved that an irreducible quasifinite module was a module of the intermediate series.…”