Dimensions of finite type for representations of partially ordered sets
Representation Theory
2012-01-24 v1
Abstract
We consider the dimensions of finite type of representations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimension. We give a criterion for a dimension to be of finite type. We also characterize those dimensions of finite type, for which there is an indecomposable representation of this dimension, and show that there can be at most one indecomposable representation of any dimension of finite type. Moreover, if such a representation exists, it only has scalar endomorphisms.
Cite
@article{arxiv.math/0404242,
title = {Dimensions of finite type for representations of partially ordered sets},
author = {Yuriy A. Drozd and Eugene A. Kubichka},
journal= {arXiv preprint arXiv:math/0404242},
year = {2012}
}
Comments
14 pages