Green Fields

Serge Bouc (1) , N. Romero

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

We introduce 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. \textcopyright 2021 Elsevier GmbH

Domaines: Mathématiques [math]

Serge Bouc, N. Romero. Green Fields. Expositiones Mathematicae, 2021, ⟨10.1016/j.exmath.2021.09.001⟩. ⟨hal-03688434⟩