Browsing NTNU Open by Author "Erdmann, Karin"

Now showing items 1-5 of 5

    • Hochschild cohomology of some quantum complete intersections 

      Erdmann, Karin; Hellstrøm-Finnsen, Magnus (Journal article; Peer reviewed, 2018)
      We compute the Hochschild cohomology ring of the algebras A = kX, Y /(Xa,XY − qY X, Y a) over a field k where a ≥ 2 and where q ∈ k is a primitive ath root of unity. We find the dimension of HHn(A) and show that it is ...

    • Homological invariants of the arrow removal operation 

      Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind (Journal article, 2022)
      In this paper we show that Gorensteinness, singularity categories and the finite generation condition Fg for the Hochschild cohomology are invariants under the arrow removal operation for a finite dimensional algebra.

    • Matrix factorizations for quantum complete intersections 

      Bergh, Petter Andreas; Erdmann, Karin (Peer reviewed; Journal article, 2019)
      We introduce twisted matrix factorizations for quantum complete intersections of codimension two. For such an algebra, we show that in a given dimension, almost all the indecomposable modules with bounded minimal projective ...

    • Modules of Constant Jordan Type over Quantum Complete Intersections 

      Bergh, Petter Andreas; Erdmann, Karin; Jorgensen, David A. (Peer reviewed; Journal article, 2020)
      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 Jordan type is an invariant of Auslander-Reiten ...

    • On the structure and cohomology ring of connected Hopf algebras 

      Erdmann, Karin; Solberg, Øyvind; Wang, Xingting (Peer reviewed; Journal article, 2019)
      Let p be a prime, and k be a field of characteristic p. We investigate the algebra structure and the structure of the cohomology ring for the connected Hopf algebras of dimension p3, which appear in the classification ...