Is there standard notation for 


(1) exterior algebras


(2) free graded commutative algebras 


(3) divided polynomial algebras ? 


I've seen (and used) $\Lambda$, $\Gamma$, $\Delta$ etc. used for some or all of these things, and I have no idea if there is a consensus about which notation goes with which algebra.



Notation for algebras
It's pretty standard to use $\bigwedge(V)$ or $\Lambda(V)$ for the exterior
algebra on a vector space $V$ and $\bigwedge^k(V)$ or $\Lambda^k(V)$
for the $k$-th graded part. For symmetric algebras $S(V)$ or $\mathrm{Sym}(V)$
etc. are frequent notations with again $S^k(V)$ or $\mathrm{Sym}^k(V)$
for the graded parts. I wouldn't say divided polynomial algebras come up often enough
to have a standard notation; you could probably use the above notations for
exterior or symmetric algebras without further comment and expect to be understood,
but whatever notation you choose for divided polynomial algebras, you'd probably
have to explain it.


