Geodesic
Modules of Constant Jordan Type over Quantum Complete Intersections
Documenta mathematica, Tome 25 (2020), pp. 1541-1570
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/781
Classification : 16E05, 16G70, 16L60, 16S80, 16U80, 20C20
Mots-clés : syzygy, constant Jordan type, Auslander-Reiten translation, quantum complete intersections, Dade's lemma 
@article{10_4171_dm_781,
     author = {Petter Andreas Bergh and Karin Erdmann and David Jorgensen},
     title = {Modules of {Constant} {Jordan} {Type} over {Quantum} {Complete} {Intersections}},
     journal = {Documenta mathematica},
     pages = {1541--1570},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/781},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/781/}
}
TY  - JOUR
AU  - Petter Andreas Bergh
AU  - Karin Erdmann
AU  - David Jorgensen
TI  - Modules of Constant Jordan Type over Quantum Complete Intersections
JO  - Documenta mathematica
PY  - 2020
SP  - 1541
EP  - 1570
VL  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/781/
DO  - 10.4171/dm/781
ID  - 10_4171_dm_781
ER  - 
%0 Journal Article
%A Petter Andreas Bergh
%A Karin Erdmann
%A David Jorgensen
%T Modules of Constant Jordan Type over Quantum Complete Intersections
%J Documenta mathematica
%D 2020
%P 1541-1570
%V 25
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/781/
%R 10.4171/dm/781
%F 10_4171_dm_781
Petter Andreas Bergh; Karin Erdmann; David Jorgensen. Modules of Constant Jordan Type over Quantum Complete Intersections. Documenta mathematica, Tome 25 (2020), pp. 1541-1570. doi: 10.4171/dm/781

Cité par Sources :