16 citations · 70 across the 36 of their papers we have counts for
44 papers · 1 filter
Tame symmetric algebras of period four
Karin Erdmann, Adam Hajduk, Adam Skowyrski
In this paper we are concerned with the structure of tame symmetric algebras of period four (TSP4 algebras, for short). We will mostly focus on the case when the Gabriel quiver of…
A note on representation-finite symmetric algebras
Karin Erdmann
We give a characterisation of representation-finite symmetric algebras of period four, and describe their basic algebras. In particular, if such an algebra is indecomposable, it ha…
Quasi-hereditary covers of Temperley-Lieb algebras and relative dominant dimension
Tiago Cruz, Karin Erdmann
Many connections and dualities in representation theory can be explained using quasi-hereditary covers in the sense of Rouquier. The concepts of relative dominant and codominant di…
Homological invariants of the arrow removal operation
Karin Erdmann, Chrysostomos Psaroudakis, Øyvind Solberg
In this paper we show that Gorensteinness, singularity categories and the finite generation condition Fg for the Hochschild cohomology are invariants under the arrow removal operat…
Torsion pairs and Ringel duality for Schur algebras
Karin Erdmann, Stacey Law
Let be a finite-dimensional algebra over a field of characteristic . We use a functorial approach involving torsion pairs to construct embeddings of endomorphism algebras…
Hybrid algebras
Karin Erdmann, Andrzej Skowroński
We introduce a new class of symmetric algebras, which we call hybrid algebras. This class contains on one extreme Brauer graph algebras, and on the other extreme general weighted s…