Modules of Constant Jordan Type over Quantum Complete Intersections

Modules of Constant Jordan Type over Quantum Complete Intersections

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...

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Veröffentlicht in:Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. 2020, Vol.25, p.1541-1570
Hauptverfasser: Bergh, Petter Andreas, Erdmann, Karin, Jorgensen, David
Format: Artikel
Sprache:eng
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Zusammenfassung: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 [1] or [n-1] in the 2-generator case.
ISSN:1431-0635
1431-0643
DOI:10.4171/dm/781