×

On Auslander-Reiten systems. (English) Zbl 0717.20015

Représentations linéaires des groupes finis, Proc. Colloq., Luminy/Fr. 1988, Astérisque 181-182, 191-194 (1990).
[For the entire collection see Zbl 0699.00023.]
The author’s dissertation (University of Paris VII, 1988) contains a broad generalization of Auslander-Reiten sequences for modular representations of finite groups. This note contains an extremely terse description of the generalization, together with an application to the computation of the socles of certain bimodules that arise in the theory of source algebras.
Reviewer: W.H.Gustafson

MSC:

20C20 Modular representations and characters
16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
16L60 Quasi-Frobenius rings
20C05 Group rings of finite groups and their modules (group-theoretic aspects)

Citations:

Zbl 0699.00023