User blog comment:Thejoker2508/Grimmjaw: Dead or Alive/@comment-44061-20111126222446

There is not actual confirmation on his death. Though it would seem most likely for alot of people looking at his injuries, his location (the very dangerous hueco mundo) and his role in the series he is most likely dead. Ichigo doesn't kill his opponents so his defeat is basically explained away by Nnoitra's intervention. Though we will never know for sure apparently. Also in no way would he be ruling Hueco Mundo, Harribel is still alive and as the 3rd Espada and only one left she would be ruler, though she has stated that she has no intention of ruling because hueco mundo needs no ruler.