The notation $M^{\oplus n}$ and $M^{\otimes n} $ to denote, respectively, nth direct sum and nth tensor product.
The notation $X \pi Y$$X \mathbin{\pi} Y$ to denote product of objects in an abstract category, and the analogous with the "upside down $\pi$" for coproduct. I once have seen this being used by B.Keller in a talk. It'd be nice to have a smaller $\Pi$ (resp. $\amalg$) symbol instead.