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arXiv · 1910.06714

Modules of constant Jordan type over quantum complete intersections

Petter Andreas Bergh·Karin Erdmann·David A. Jorgensen
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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 [1] or [n-1] in the 2-generator case.

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Petter Andreas Bergh, Karin Erdmann, David A. Jorgensen. 2019-10-15. Modules of constant Jordan type over quantum complete intersections. https://arxiv.org/abs/1910.06714

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