JournalsjemsVol. 16, No. 5pp. 925–989

Jordan types for indecomposable modules of finite group schemes

  • Rolf Farnsteiner

    Christian-Albrechts-Universität zu Kiel, Germany
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Abstract

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

Cite this article

Rolf Farnsteiner, Jordan types for indecomposable modules of finite group schemes. J. Eur. Math. Soc. 16 (2014), no. 5, pp. 925–989

DOI 10.4171/JEMS/452