Tuesday, February 4, 14:00, 7.527.
Manuel Flores (Bielefeld), The homological poset of the Auslander algebra of
the truncated polynomial ring.
The homological poset of a finite dimensional algebra A is a poset
defined on the class of Serre subcategories of mod A (up to equivalence)
with relations given by embeddings preserving all extension groups. From the
Hasse quiver of the homological poset we can read all the possible
quasi-hereditary structures of the algebra and its quotients by idempotent
ideals. In this talk I will describe and give some combinatorial properties
of the homological poset of the Auslander algebra of
K[x]/(xn) and its
Hasse quiver. This is part of my PhD thesis.