Thursday, February 23, 10:30
Relative Auslander-Gorenstein Pairs.
In this talk we introduce relative Auslander-Gorenstein
pairs. This consists of a finite dimensional Gorenstein algebra
together with a self-orthogonal module that provides a further
homological feature of the algebra in terms of relative dominant
dimension (as introduced recently by Cruz). We will characterize
relative Auslander pairs by the existence and uniqueness of
tilting-cotilting modules having higher values relative dominant and
codominant dimension with respect to the self-orthogonal module. We
will illustrate our results with explicit examples. This is joint work
with Tiago Cruz.