Let $V$ be a vector space and let $T:V\to V$ be a linear transformation. For integer $m$, there exists a multilinear transformation \(\wedge^m(T): \wedge^m(V) \to \wedge^m(V)\) from the $m$-fold exterior product to itself given by \(v_1\wedge\cdots\wedge v_m \mapsto T(v_1)\wedge\cdots\wedge T(v_m).\)
Wikidata ID: Q13408581