The space Tpoly​(Rd) of all tensor fields on Rd,
equipped with the Schouten bracket is a Lie algebra. The subspace of ascending
tensors is a Lie subalgebra of Tpoly​(Rd). In this paper, we
compute the cohomology of the adjoint representations of this algebra (in
itself and Tpoly​(Rd)), when we restrict ourselves to cochains
defined by aerial Kontsevitch's graphs like in our previous work (Pacific J of
Math, vol 229, no 2, (2007) 257-292). As in the vectorial graphs case, the
cohomology is freely generated by all the products of odd wheels