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Farnsteiner, Rolf

Jordan types for indecomposable modules of finite group schemes. (English) Zbl 1304.14058

J. Eur. Math. Soc. (JEMS) 16, No. 5, 925-989 (2014).
The article under review studies the interplay between algebro-geometric notions related to \(\pi\)-points and structural features of the stable Auslander-Reiten quiver of a finite group scheme. The author shows that \(\pi\)-points give rise to a number of new invariants of the AR-quiver on one hand, and exploits combinatorial properties of AR-components to obtain information on \(\pi\)-points on the other. In particular, the new invariants turn out to be finer than those given by rank varieties and support varieties. Special attention is given to components containing Carlson modules, constantly supported modules, and endo-trivial modules.
Reviewer: Huang Hua-Lin (Shandong)

Cited in 6 Documents

MSC:

14L15 Group schemes
16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

Keywords:

Jordan type; Auslander-Reiten components
PDFBibTeX XMLCite
\textit{R. Farnsteiner}, J. Eur. Math. Soc. (JEMS) 16, No. 5, 925--989 (2014; Zbl 1304.14058)
Full Text: DOI arXiv

References:

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