I have a bank of florescent lights that will not light despite new
bulbs and a working electricty

I'm not an electrician.
Flourescent lights apparently require both an 'igniter' and 'ballast'.
It would be necessary to see the fitting to know exactly where they
are and it is worth noting that some of the fancy long-life modern
fittings have either or both of them built into the base of the globe.
Generally the 'igniter' is cheaper to replace and easier to access.
Maybe 50cents to $2 in price. (In essence it is a capaciter that
stores up a charge for a jolt or boot start of the flouro)
I'm not sure the exact purpose of the ballast but I know that to me it
looks like a transformer. If it fails it is generally much more
expensive to replace, and may cost equal or more than repacing the
fitting and should only be done by a licensed electrician. I
understand that noisy fluoro fittings (humming) are caused by noisy
ballasts particularly as they get older and before they fail.

Note: (1) Correct spelling of word is "fluorescent" with 'u' before 'o'.
(2) 'igniter' or 'starter' are same thing.
(3) The "fancy modern fittings" I referred to are sually described as
'compact fluorescent bulb' or compact fluorescent lamp'
(4) There is a detailed description of how a fluorescent lamp works
that includes a picture of a typical 'starter' and a description of
the purpose of the ballast at
http://en.wikipedia.org/wiki/Fluorescent_lamp

It's also important to ensure that you have the correct bulb type for
the fixture - look at the labeling for the fixure and carry that
information to your lighting store.