Jordan Types for Indecomposable Modules of Finite Group Schemes

Details Jordan Types for Indecomposable Modules of Finite Group Schemes Jordan Types for Indecomposable Modules of Finite Group Schemes

2009-10-16

arxiv.org/abs/0910.3093v1

Mathematics

Representation Theory

Scientific paper

In this article we study the interplay between algebro-geometric notions related to $\pi$-points and structural features of the stable Auslander-Reiten quiver of a finite group scheme. We show that $\pi$-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 $\pi$-points on the other. Special attention is given to components containing Carlson modules, constantly supported modules, and endo-trivial modules.

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