Green fields
Category Theory
2022-01-07 v2 Group Theory
Rings and Algebras
Representation Theory
Abstract
We introduce {\em Green fields}, as commutative Green biset functors with no non-trivial ideals. We state some of their properties and give examples of known Green biset functors which are Green fields. Among the properties, we prove some criterions ensuring that a Green field is semisimple. Finally, we describe a type of Green field for which its category of modules is equivalent to a category of vector spaces over a field.
Keywords
Cite
@article{arxiv.2103.01326,
title = {Green fields},
author = {Serge Bouc and Nadia Romero},
journal= {arXiv preprint arXiv:2103.01326},
year = {2022}
}