Jordan types for indecomposable modules of finite group schemes
Rolf FarnsteinerChristian-Albrechts-Universität zu Kiel, Germany
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.
Cite this article
Rolf Farnsteiner, Jordan types for indecomposable modules of finite group schemes. J. Eur. Math. Soc. 16 (2014), no. 5, pp. 925–989DOI 10.4171/JEMS/452