Classification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.