Creativity is a new connection between previously unrelated elements or entities that now require further integration.
Invention is connecting ideas to tangible products and services and improve them or create totally new ones.
Innovation is connecting newly created products and services or improve products and services with applications and users.
Companies can facilitate the appropriate creativity by posing problems and asking people to go through knowledge bases and come with possible new knowledge that may have some use in solving the problem. During brainstorming attempt is made to link the new knowledge with the problem at hand.
Post brainstorming activity has to be development of the ideas generated in the brainstorming session, at that only will lead to invention.