48 citations · 140 across the 46 of their papers we have counts for
8 papers · 1 filter
Separable equivalences, finitely generated cohomology and finite tensor categories
Petter Andreas Bergh
We show that finitely generated cohomology is invariant under separable equivalences for all algebras. As a result, we obtain a proof of the finite generation of cohomology for fin…
On support varieties and tensor products for finite dimensional algebras
Petter Andreas Bergh, Mads Hustad Sandøy, Øyvind Solberg
It has been asked whether there is a version of the tensor product property for support varieties over finite dimensional algebras defined in terms of Hochschild cohomology. We sho…
On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras
Petter Andreas Bergh, Will Turner
We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke…
Cohomological symmetry in triangulated categories
Petter Andreas Bergh, Steffen Oppermann
We give a criterion for cohomological symmetry in a triangulated category. As an application, we show that such cohomological symmetry holds for all pairs of modules over any exter…
The representation dimension of Hecke algebras and symmetric groups
Petter Andreas Bergh, Karin Erdmann
We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and most of the algebras of types…
The stable AR-quiver of a quantum complete intersection
Petter Andreas Bergh, Karin Erdmann
We completely describe the tree classes of the components of the stable Auslander-Reiten quiver of a quantum complete intersection. In particular, we show that the tree class is al…