I know a bit about HDTV's, but on this one I'm Shakey. I can post what I found
I found this on google
Because of differences between computer display timing and
resolution and the standards for HDTV, most CRT HDTV's will not work with a PC unless a converter is used and the computer is capable of generating customized displays and timings. Many CRT HDTV manufacturers recommend against using their televisions with a PC.
This is MSFT
With that being said, I can't see why it couldn't be done. Media Center toughts being able to play through your TV, infact they even make distinction between HD and non-hd hookups.
It will probably depend on what OS sytem you have and how well you know your TV so you can get your CPU to the closest match.
Here is a page from MSFT talking about using a CRT