Well for green algae, I found out by accident. I tried to grow green algae on stones in some tank water on the window but after 3 weeks no algae grew on anything so I gave up the idea. It isn't very sunny here so I thought that's the reason.
However, a couple of months ago I put two glass bowls on the same window to try to grow some floating plants as they weren't doing great in my tanks and I needed them for a new tank.
I put micro and macro ferts in one of the bowls and the second bowl I left unfertilized but I used tank water for both.
Well, the one that got dosed with ferts grew lovely big green salvinia minima but at the same time the bowl got all covered in green algae. I was told today to remove it as it looks like swamp to some people at home

I am going to use it first to grow some green algae on stones for my ottos.
The second unfertilized bowl grew the floaters as well, but not as good looking and big. However, there's not one bit of algae in it.
So much about excess fertilizers not causing algae....
Both bowls got exactly the same amount of light and I don't think there was any ammonia in them though because it's just water and plants.
So even though you don't have a planted tank, dosing fertilizers will help with growing some algae providing you've got some light too.