Otto Kerner (Düsseldorf), Modules of complexity one over exterior algebras.

Abstract:

Let R be the graded exterior algebra of some finite dimensional vector space. A non projective R-module X has complexity one, if there exists an upper bound for the dimensions of all projective modules occurring in a minimal projective resolution of X. I will present results from a joint project with Dan Zacharia about R-modules of complexity one, especially on those which are additionally linear.