Dirk Kussin, Universit√§t M√ľnster

What is a tube?

We discuss the categorical structure of a tube, let say a homogeneous one over a tame hereditary algebra over a field, and compare a bottom-up with a top-down approach for its determination. We compare the functorial properties of the Auslander-Reiten translation on a tube with tubular shift functors associated with tubes. New results and examples will be presented.