Geodesic
Modules of Constant Jordan Type over Quantum Complete Intersections
Documenta mathematica, Tome 25 (2020), pp. 1541-1570.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 16E05, 16G70, 16S80, 16U80, 16L60, 20C20
Keywords: constant Jordan type, quantum complete intersections, Dade's lemma, syzygy, Auslander-Reiten translation 
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     author = {Bergh, Petter Andreas and Erdmann, Karin and Jorgensen, David},
     title = {Modules of {Constant} {Jordan} {Type} over {Quantum} {Complete} {Intersections}},
     journal = {Documenta mathematica},
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     year = {2020},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a26/}
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Bergh, Petter Andreas; Erdmann, Karin; Jorgensen, David. Modules of Constant Jordan Type over Quantum Complete Intersections. Documenta mathematica, Tome 25 (2020), pp. 1541-1570. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a26/