Eleocharis Parvula(shortest form of dwarf hairgrass) requires 2wpg min and co2 injection to spread into a nice carpet. They are rooted plant that prefers small sized rich substrate such as eco complete or aquasoil.
There is no low light vs high light dwarf hairgrass, they all have the same requirement as listed above. There are two forms of common hairgrass, Eleocharis acicularis + parvula. Parvula is the shorter of the two and more rarer. If you do not have co2 injection, this plant is not for you. Even if it survives, it will not spread into a carpet.
It is very painful to do the initial planting, the best method is to lower the water to just 1inch above substrate. Then plant the hairgrass in small clamps using a pincettes by shoving the root into the substrate in a chessboard pattern.
Key to keep this plant healthy is co2 injection, it will spread rapidly into a nice carpet if good conditions are met. Most sold are emersed which means the initial grass will turn brown and rot away, then submerged version will grow out and begin to spread. So dont throw the hairgrass away thinking they died.
One last note is be sure to keep with the correct fish. I am feeling the pain every week since i keep the hairgrass with 3 SAEs, every week i am throwing away a handful of hairgrass pulled up by the SAEs. Make sure you do not keep with bottom scavanger type fish. Rasboras, neon/card tetras are good choices. SAEs ARE NOT!!!
Echinodorus tenellus (pygme chain sword) is another beautiful bright green carpet plant with a different style. They are MUCH MUCH easier to keep than hairgrass, requiring just the 2wpg (or even lower) lighting. Of course co2/macro+micro will help it spread faster, but is not required like the hairgrass.
Here's a very recent pic of both the hairgrass + chain sword side by side in my tank.
And finally for the truely low tech tank with regular fluorescent lighting etc, your only option is java moss. They make pretty good carpets too if planted correctly by separate them out into a thin layer and secure it with a hair net. Otherwise they will look very messy as a big clamp of crap if just dumped in the tank.
hope this answered some questions,
gaga