On generic bricks over tame algebras
Representation Theory
2026-04-15 v2
Abstract
We prove that if is a tame finite-dimensional algebra over an algebraically closed field and is a generic module, then is a generic brick if and only if it determines a one-parameter family of bricks with the same dimension. In particular, we obtain that admits a generic brick if and only if is brick-continuous.
Cite
@article{arxiv.2408.16127,
title = {On generic bricks over tame algebras},
author = {R. Bautista and E. Pérez and L. Salmerón},
journal= {arXiv preprint arXiv:2408.16127},
year = {2026}
}