arXiv:math/0605680 Abstract

arXiv:math/0605680 [math.RT]Abstract References Reviews Resources

Thin coverings of modules

Published 2006-05-26Version 1

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.

Categories: math.RT, math.RA

Subjects: 16W50, 17B70

Keywords: thin coverings, multiloop lie algebras, cyclotomic quantum tori, finite abelian groups, general discussion

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