Classification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle

Simple item page
dc.creatorSu, Yucai
dc.date2005-11-21
dc.date.accessioned2026-07-07T06:51:33Z
dc.date.available2026-07-07T06:51:33Z
dc.descriptionWe prove that an irreducible quasifinite module over the central extension of the Lie algebra of $N\times N$-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.
dc.descriptionLaTeX, 10 pages
dc.identifierhttps://arxiv.org/abs/math/0511524
dc.identifierhttp://arxiv.org/abs/math/0511524
dc.identifierProc. Amer. Math. Soc., 133 (2005), 1949-1957
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105020
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B10; 17B65; 17B66; 17B68
dc.titleClassification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle
dc.typetext

Files

Collections

arXiv