Assuming that driver issues are not part of the OP's question, generator issues would include:
If it is an air cooled machine, it will not pass as much cooling air through the core so that will affect the ultimate performance rating capability. Same principal would apply with a TEWAC or H2 cooled machine. Less rotor speed produces less cooling medium flow in the generator internals. That is an integral part of the derate picture already presented.
If the machine was not designed day one to be convertable from one frequency to another, I would check with the OEM to see what the limitations would be. The comment about shaft criticals is important to check out.
If your turbine change to accomodate the frequency change involves a change in direction of rotation, then you will have to reverse your rotor fans and remember if it has a rotating exciter that there may be a fan there too. With some manufacturers, that fan cannot be reversed but has to be replaced.
Modern seroderivitave packages are designed for 50/60 hz with corresponding ratings. Some of the older packages, however were designed for a specific frequency. Much of what you can/can't do if that is what you have depends on whether or not it is a hot end drive or a cold end drive.
rmw