Thin coverings of modules
Representation Theory
2007-05-23 v1 Rings and Algebras
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.
Cite
@article{arxiv.math/0605680,
title = {Thin coverings of modules},
author = {Yuly Billig and Michael Lau},
journal= {arXiv preprint arXiv:math/0605680},
year = {2007}
}