Résume | This talk is based on joint work with \href{http://www2.math.uu.se/~martinh/}{Martin Herschend}.
In classical Auslander-Reiten theory, one first defines almost split sequence, and subsequently arranges them into AR components.
In higher dimensional Auslander-Reiten theory the notion of almost split sequences depends on the choice of a rigid (hence discrete) subcategory.
In this setup, we suggest an axiomatic definition of AR components, and explore examples and properties. |