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.

`$\bigwedge$`

(that is, \bigwedge) for exterior algebra as noted by Robin Chapman, it seems the use of`$\Lambda$`

(in written or verbal form) is just a corruption of the wedge symbol. There is also an older tradition of writing something like`$E(V)$`

for the exterior algebra of a vector space, but with the operation usually written as`$v \wedge w$`

. The wedge has become standard – Jim Humphreys Jun 19 '10 at 18:47