Modules of Constant Jordan Type over Quantum Complete Intersections
Petter Andreas BerghInstitutt for Matematiske Fag, NTNU, N-7491 Trondheim, Norway
Karin ErdmannMathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Oxford OX2 6GG, United Kingdom
David JorgensenDepartment of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA
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. 1541–1570DOI 10.4171/DM/781