WordNet sense 1 ((law) a transfer of property by deed of conveyance):

grant

WordNet sense 2 (a duty that you are assigned to perform (especially in the armed forces)):

duty assignment

WordNet sense 3 (the act of distributing something to designated places or persons):

assigning

WordNet sense 4 (the act of putting a person into a non-elective position):

appointment, designation, naming