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arXiv · 0910.3093

Jordan Types for Indecomposable Modules of Finite Group Schemes

Rolf Farnsteiner
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Abstract

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

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BibTeXRIS

Rolf Farnsteiner. 2009-10-16. Jordan Types for Indecomposable Modules of Finite Group Schemes. https://arxiv.org/abs/0910.3093

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