Privileges Required to use Partitions 
To use partitions, you need either:
scheduler-administrator role
system or isolation goup-level permissions
object-specific prvileges
You need one of the following privilege ranks to be able to create partitions:
Create - allows you to create partitions on the level the privilege was granted (system, isolation-group), you have no further privileges through this rank, you automatically get privileges on partitions you create.
Edit - allows you to create, view, and edit all partitions on the level the privilege was granted (system, isolation-group)
Delete - allows you to create, view, and delete all partitions on the level the privilege was granted (system, isolation-group)
All - full control over all partitions on the level the privilege was granted (system, isolation-group)
To successfully edit a partition, you have to have one the following privileges:
Edit - privilege rank on the partition, or on partitions in its isolation group or system-wide
Delete - privilege rank on the partition, or on partitions in its isolation group or system-wide
All - privilege rank on the partition, or on partitions in its isolation group or system-wide