Exceptional modules over wild canonical algebras

2019/03/25 by Kędzierski, Dawid Edmund, Meltzer, Hagen
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1903.10305

Abstract

We show that ''almost all'' exceptional modules over wild canonical algebra Λ can be described by matrices having coefficients λ_i-λ_j, where λ_i, λ_j are elements from the parameter sequence. The proof is based on Schofield induction for sheaves in the associated categories of weighted projective lines and an extended version of C. M. Ringel's proof for the ''0, 1'' matrix property for exceptional representations for finite acyclic quivers.

Related

• Distinguished bases of exceptional modules
• τ-exceptional sequences for representations of quivers over local algebras
• Über erreichbare und baumartige unzerlegbare Darstellungen von Köchern
• Infinite dimensional representations of canonical algebras
• Modules attached to extension bundles