Jordan Types for Indecomposable Modules of Finite Group Schemes
Representation Theory
2009-10-19 v1
Abstract
In this article we study the interplay between algebro-geometric notions related to -points and structural features of the stable Auslander-Reiten quiver of a finite group scheme. We show that -points give rise to a number of new invariants of the AR-quiver on one hand, and exploit combinatorial properties of AR-components to obtain information on -points on the other. Special attention is given to components containing Carlson modules, constantly supported modules, and endo-trivial modules.
Keywords
Cite
@article{arxiv.0910.3093,
title = {Jordan Types for Indecomposable Modules of Finite Group Schemes},
author = {Rolf Farnsteiner},
journal= {arXiv preprint arXiv:0910.3093},
year = {2009}
}