Modules of constant Jordan type
| dc.creator | Carlson, Jon F. | |
| dc.creator | Friedlander, Eric M. | |
| dc.creator | Pevtsova, Julia | |
| dc.date | 2007-07-25 | |
| dc.date.accessioned | 2026-07-07T08:20:24Z | |
| dc.date.available | 2026-07-07T08:20:24Z | |
| dc.description | We introduce the class of modules of constant Jordan type for a finite group scheme $G$ over a field $k$ of characteristic $p > 0$. This class is closed under taking direct sums, tensor products, duals, Heller shifts and direct summands, and includes endotrivial modules. It contains all modules in an Auslander-Reiten component which has at least one module in the class. Highly non-trivial examples are constructed using cohomological techniques. We offer conjectures suggesting that there are strong conditions on a partition to be the Jordan type associated to a module of constant Jordan type. | |
| dc.description | 47 pages | |
| dc.identifier | https://arxiv.org/abs/0707.3845 | |
| dc.identifier | http://arxiv.org/abs/0707.3845 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135062 | |
| dc.subject | Representation Theory | |
| dc.subject | 16G10 (primary); 20C20, 20G10 (secondary); | |
| dc.title | Modules of constant Jordan type | |
| dc.type | text |