Decompositions of linear spaces induced by $n$-linear maps

Antonio Jesús Calderón, Ivan Kaygorodov, Paulo Saraiva

Let $\mathbb{V}$ be an arbitrary linear space and $f:\mathbb{V}\times \dots \times \mathbb{V}\to \mathbb{V}$ an $n$-linear map. It is proved that, for each choice of a basis ${\math…