One class of wild but brick-tame matrix problems

We present a class of wild matrix problems (representations of boxes), which are “brick-tame”, i.e. only have one-parameter families of bricks (representations with trivial endomorphism algebra) for each dimension vector d. This class includes several boxes that arise in the study of simple vector bundles on degenerations of elliptic curves, as well as those arising from the coadjoint action of some linear groups.