JournalsdmVol. 25pp. 1541–1570

Modules of Constant Jordan Type over Quantum Complete Intersections

  • Petter Andreas Bergh

    Institutt for Matematiske Fag, NTNU, N-7491 Trondheim, Norway

  • Karin Erdmann

    Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Oxford OX2 6GG, United Kingdom

  • David Jorgensen

    Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA
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Abstract

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 components. Finally, we classify modules with stable constant Jordan type or in the 2-generator case.

Cite this article

Petter Andreas Bergh, Karin Erdmann, David Jorgensen, Modules of Constant Jordan Type over Quantum Complete Intersections. Doc. Math. 25 (2020), pp. 1541–1570

DOI 10.4171/DM/781