6 citations · 14 across the 12 of their papers we have counts for
4 papers · 1 filter
The Avrunin-Scott theorem for quantum complete intersections
Petter Andreas Bergh, Karin Erdmann
We prove the Avrunin-Scott theorem for quantum complete intersections; the rank variety of a module is isomorphic to its support variety.
Cohomology of twisted tensor products
Petter Andreas Bergh, Steffen Oppermann
It is well known that the cohomology of a tensor product is essentially the tensor product of the cohomologies. We look at twisted tensor products, and investigate to which extend…
(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…
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…