body: t)\right)+\sum _{i<j}(-1)^{i+j}\omega \left(\left[V_{i},V_{j}\right],V_{0},\ldots ,{\hat {V}}_{i},\ldots ,{\hat {V}}_{j},\ldots ,V_{k}\right)} {\displaystyle d\omega (V_{0},...,V_{k})=\sum _{i}(-1)^{i