Thin coverings of modules

Details Thin coverings of modules Thin coverings of modules

2006-05-26

arxiv.org/abs/math/0605680v1

Mathematics

Representation Theory

Scientific paper

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.

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