Green fields

Serge Bouc; Nadia Romero

doi:10.1016/j.exmath.2021.09.001

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arXiv · 2103.01326

Green fields

Serge Bouc·Nadia Romero

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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.

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Serge Bouc, Nadia Romero. 2021-03-01. Green fields. https://doi.org/10.1016/j.exmath.2021.09.001

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