48 citations · 140 across the 46 of their papers we have counts for
4 papers · 1 filter
Modules of constant Jordan type over quantum complete intersections
Petter Andreas Bergh, Karin Erdmann, David A. Jorgensen
We initiate the study of modules of constant Jordan type for quantum complete intersections, and prove a range of basic properties. We then show that for these algebras, constant J…
Hochschild homology and trivial extensions
Petter Andreas Bergh, Dag Oskar Madsen
We prove that if an algebra is either selfinjective, local or graded, then the Hochschild homology dimension of its trivial extension is infinite.
The negative side of cohomology for Calabi-Yau categories
Petter Andreas Bergh, David A. Jorgensen, Steffen Oppermann
We study integer-graded cohomology rings defined over Calabi-Yau categories. We show that the cohomology in negative degree is a trivial extension of the cohomology ring in non-neg…
Twisted support varieties
Petter Andreas Bergh
We define and study twisted support varieties for modules over an Artin algebra, where the twist is induced by an automorphism of the algebra. Under a certain finite generation hyp…