Tuesday, February 4, 14:00, 7.527.

Manuel Flores (Bielefeld), The homological poset of the Auslander algebra of the truncated polynomial ring.

Abstract:
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.