A note on spherical algebras

2025/12/16 by Erdmann, Karin, Skowyrski, Adam
#16D50 #16E30 #16G20 #16G60 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2512.14224

Abstract

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 which naturally appears, when dealing with biregular Gabriel quivers.

Citations

• Local structure of tame symmetric algebras of period four
• Tame symmetric algebras of period four
• Virtual mutations of weighted surface algebras
• Higher Spherical Algebras
• Weighted surface algebras: general version
• Algebras of generalized quaternion type
• Higher Tetrahedral Algebras
• Weighted Surface Algebras

Related

• Tame symmetric algebras of period four
• Higher Spherical Algebras
• Local structure of tame symmetric algebras of period four
• Higher Tetrahedral Algebras
• Spherical representation spaces of quivers