Modules of constant Jordan type over quantum complete intersections
Rings and Algebras
2019-10-16 v1 K-Theory and Homology
Representation Theory
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.
Keywords
Cite
@article{arxiv.1910.06714,
title = {Modules of constant Jordan type over quantum complete intersections},
author = {Petter Andreas Bergh and Karin Erdmann and David A. Jorgensen},
journal= {arXiv preprint arXiv:1910.06714},
year = {2019}
}
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21 pages