Sec. 1. After the formation of a limited partnership, a person may be admitted as an additional limited partner:
(1) in the case of a person acquiring a partnership interest directly from the limited partnership, upon compliance with the partnership agreement or, if the partnership agreement does not so provide, upon the written consent of all partners; and
(2) in the case of an assignee of a partnership interest, as provided in IC 23-16-8-4.