Polynomial polyvector field
= Polynomial polyvector field
{title2=$\bigwedge_A^p\operatorname{Der}_k(A)$}
For a <polynomial ring> $A$, a degree-$p$ polynomial polyvector field is an element of $\bigwedge_A^p\operatorname{Der}_k(A)$. Its product is the <exterior product>. Together with the <Schouten-Nijenhuis bracket> these spaces form a <Gerstenhaber algebra>.