Representation Type of EI-Categories
Representation Theory
2011-04-14 v1
Abstract
EI-categories are a simultaneous generalisation of finite groups and finite quivers without oriented cycles. It is therefore a natural question to ask for a characterisation of finite representation type. For special classes of EI-categories a complete characterisation is obtained using quiver techniques. For EI-categories with two objects we present a necessary criterion for finite representation type. The complexity of this classification problem is illustrated by some examples.
Cite
@article{arxiv.1104.2339,
title = {Representation Type of EI-Categories},
author = {Karsten Dietrich},
journal= {arXiv preprint arXiv:1104.2339},
year = {2011}
}