Article ID Journal Published Year Pages File Type
4587899 Journal of Algebra 2007 27 Pages PDF
Abstract

Thin coverings are a method of constructing graded-simple modules from simple (ungraded) modules. After a general discussion, we classify the thin coverings of (quasifinite) simple modules over associative algebras graded by finite abelian groups. The classification uses the representation theory of cyclotomic quantum tori. We close with an application to representations of multiloop Lie algebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory