[quote=Heat]
This is still accepting, correct?
[/quote]

Yes
[quote=Sep]
I should also point out that they did centralize after the Yuuzhan Vong war with Luke being declared Grandmaster(Officially) and having the Masters council. Also the Jedi declared themselves separate form the Galactic Alliance and then the Galactic Triumvirate have they rejoined the Republic? Or are they still a separate organisation?
[/quote]

The jedi are more or less seperate but they are allied with the Republic. They don't answer to it but they work together.