48 citations · 140 across the 46 of their papers we have counts for
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Representation dimension and finitely generated cohomology
Petter Andreas Bergh
We consider selfinjective Artin algebras whose cohomology groups are finitely generated over a central ring of cohomology operators. For such an algebra, we show that the represent…
The representation dimension of quantum complete intersections
Petter Andreas Bergh, Steffen Oppermann
We study the representation dimension of the class of algebras known as quantum complete intersections. For such an algebra, we show that the representation dimension is at most tw…
(Co)homology of quantum complete intersections
Petter Andreas Bergh, Karin Erdmann
We construct a minimal projective bimodule resolution for every finite dimensional quantum complete intersection of codimension two. Then we use this resolution to compute both the…
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…
On support varieties for modules over complete intersections
Petter Andreas Bergh
We show that, over a local complete intersection, every possible variety is realized as the cohomological support variety of some module. Moreover, we show that the projective vari…
On the Hochschild (co)homology of quantum exterior algebras
Petter Andreas Bergh
We compute the Hochschild cohomology and homology of a class of quantum exterior algebras, with coefficients in twisted bimodules. As a result we obtain several interesting example…