… We give explicit formulae for operations in Hochschild cohomology which are analogous
to the operations in the homology of double loop spaces. As a corollary we obtain that any
brace algebra in finite characteristic is always a restricted Lie algebra. … This result implies
that in Hochschild cohomology one can define the same homological operations as for
double loop spaces. Homological operations for the iterated loop spaces are well known [3]:
In the case of double loops, one has a Pontryagin multiplication, a Browder operator (degree …