One class of wild but brick-tame matrix problems

Details One class of wild but brick-tame matrix problems One class of wild but brick-tame matrix problems

2009-03-25

arxiv.org/abs/0903.4374v2

J.Algebra 323 (2010), 3004-3019

Mathematics

Representation Theory

19 pages

Scientific paper

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

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