16 citations · 42 across the 12 of their papers we have counts for
15 papers · 1 filter
Generalized weighted surface algebras
Andrzej Skowroński, Adam Skowyrski
The weighted triangulation algebras associated to triangulation quivers and their socle deformations were recently introduced and studied in [15]-[20] and [2]. These algebras, base…
Higher Spherical Algebras
Karin Erdmann, Andrzej Skowronski
We introduce and study higher spherical algebras, an exotic family of finite-dimensional algebras over an algebraically closed field. We prove that every such an algebra is derived…
Hochschild cohomology for periodic algebras of polynomial growth
Jerzy Bialkowski, Karin Erdmann, Andrzej Skowronski
We describe the dimensions of low Hochschild cohomology spaces of exceptional periodic representation-infinite algebras of polynomial growth. As an application we obtain that an in…
Invariance of representation dimension under socle equivalence of selfinjective algebras
Ibrahim Assem, Andrzej Skowronski, Sonia Trepode
We prove that the representation dimension of finite dimensional selfinjective algebras over a field is invariant under socle equivalence and derive some consequences.
From Brauer graph algebras to biserial weighted surface algebras
Karin Erdmann, Andrzej Skowroński
We prove that the class of Brauer graph algebras coincides with the class of indecomposable idempotent algebras of biserial weighted surface algebras. These algebras are associated…
Higher Tetrahedral Algebras
Karin Erdmann, Andrzej Skowro'nski
We introduce and study the higher tetrahedral algebras, an exotic family of finite-dimensional tame symmetric algebras over an algebraically closed field. The Gabriel quiver of suc…