7 papers
Tame symmetric algebras of period four with small Gabriel quivers
Karin Erdmann, Alicja Jaworska-Pastuszak, Adam Skowyrski
The tame symmetric algebras of period four, TSP4 algebras for short, form an important class of algebras, with interesting links to various branches of modern algebra. The study of…
Homological dimensions of Schur algebras and an Auslander-type correspondence
Tiago Cruz, Karin Erdmann
We study the homological properties of Schur algebras over a field of positive characteristic , focusing on their interplay with the representation theory of quot…
Algebras of generalized quaternion type: biregular case
Karin Erdmann, Adam Hajduk, Adam Skowyrski
This paper provides the next step towards classification of algebras of generalized quaternion type. Previously algebras with 2-regular Gabriel quiver were classified (a quiver is…
A note on spherical algebras
Karin Erdmann, Adam Skowyrski
We classify tame symmetric algebras of period four which are closely related to the spherical algebras introduced in [7]. This note provides a classification in the special case wh…
On the representation type of a finite tensor category
Petter Andreas Bergh, Karin Erdmann, Julia Yael Plavnik +1
Given an exact module category over a finite tensor category with finitely generated cohomology, we show that if there exists an object of complexity at least three, then the categ…
Monomial arrow removal and the finitistic dimension conjecture
Karin Erdmann, Odysseas Giatagantzidis, Chrysostomos Psaroudakis +1
In this paper, we introduce the monomial arrow removal operation for bound quiver algebras, and show that it is a novel reduction technique for determining the finiteness of the fi…