Click on the Shared As button. You can then assign certain rights to the folder. It can be Read-Only access, Full access, or Depends on Password . Read-Only access allows the users accessing the folder only to view the files and not make changes.
Full access allows the users to make any and all changes to the contents.
This includes deleting files. You can also assign certain password for those whom you wish to have Full Access and others to only have Read-Only access.