Effective dimension of finite semigroups
Group Theory
2012-07-27 v3 Representation Theory
Abstract
In this paper we discuss various aspects of the problem of determining the minimal dimension of an injective linear representation of a finite semigroup over a field. We outline some general techniques and results, and apply them to numerous examples.
Cite
@article{arxiv.1107.1413,
title = {Effective dimension of finite semigroups},
author = {Volodymyr Mazorchuk and Benjamin Steinberg},
journal= {arXiv preprint arXiv:1107.1413},
year = {2012}
}
Comments
To appear in J. Pure Appl. Alg