Title of article :
Thin coverings of modules
Author/Authors :
Yuly Billig، نويسنده , , Michael Lau، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
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.
Keywords :
Quantum torus , Multiloop Lie algebra , Graded module , Associative algebra
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra