Jordan types for indecomposable modules of finite group schemes

Farnsteiner, Rolf. "Jordan types for indecomposable modules of finite group schemes." Journal of the European Mathematical Society 016.5 (2014): 925-989. <http://eudml.org/doc/277631>.

@article{Farnsteiner2014,
abstract = {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.},
author = {Farnsteiner, Rolf},
journal = {Journal of the European Mathematical Society},
keywords = {Jordan type; Auslander–Reiten components; Jordan type; Auslander-Reiten components},
language = {eng},
number = {5},
pages = {925-989},
publisher = {European Mathematical Society Publishing House},
title = {Jordan types for indecomposable modules of finite group schemes},
url = {http://eudml.org/doc/277631},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Farnsteiner, Rolf
TI - Jordan types for indecomposable modules of finite group schemes
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 5
SP - 925
EP - 989
AB - 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.
LA - eng
KW - Jordan type; Auslander–Reiten components; Jordan type; Auslander-Reiten components
UR - http://eudml.org/doc/277631
ER -