8 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…
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…
Iterated mutations of symmetric periodic algebras
Adam Skowyrski
Following methods used by A. Dugas for investigating derived equivalent pairs of (weakly) symmetric algebras, we apply them in a specific situation, obtaining new deep results conc…
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…
Generalized weighted surface algebras
Andrzej SkowroÅski, 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…
Periodicity shadows II. Computational aspects
Jerzy BiaÅkowski, Adam Skowyrski
This article provides the second part of the research initiated in arXiv:2411.17381, where we introduced and investigated so called periodicity shadows, which are special skew-symm…