10 papers
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…
Periodicity shadows II. Computational aspects
Jerzy Białkowski, 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…
Periodicity shadows I: A new approach to combinatorics of periodic algebras
Adam Skowyrski
This article is devoted to introduce a new notion of periodicity shadow, which appeared naturally in the study of combinatorics of tame symmetric algebras of period four, or more g…
Local structure of tame symmetric algebras of period four
Karin Erdmann, Adam Hajduk, Adam Skowyrski
In this paper we study the structure of Gabriel quivers of tame symmetric algebras of period four. More precisely, we focus on algebras having Gabriel quiver {\it biregular}, i.e.…