English

Exceptional modules over wild canonical algebras

Rings and Algebras 2019-03-26 v1 Representation Theory

Abstract

We show that ''almost all'' exceptional modules over wild canonical algebra Λ\Lambda can be described by matrices having coefficients λiλj\lambda_i-\lambda_j, where λi,λj\lambda_i, \lambda_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''0, \,1'' matrix property for exceptional representations for finite acyclic quivers.

Keywords

Cite

@article{arxiv.1903.10305,
  title  = {Exceptional modules over wild canonical algebras},
  author = {Dawid Edmund Kędzierski and Hagen Meltzer},
  journal= {arXiv preprint arXiv:1903.10305},
  year   = {2019}
}
R2 v1 2026-06-23T08:18:09.436Z