TITLE: Is the Chevalley-Eilenberg cohomology the only interesting cohomology for Lie algebra?
QUESTION [7 upvotes]: When talking about the cohomology space of a Lie algebras, it comes naturally to refer to the Chevalley-Eilenberg cohomology, is there other interesting type of cohomology for Lie algebra?

REPLY [6 votes]: No, it's not the only one. For instance, Leibniz cohomology is interesting for Lie algebras themselves. See this answer of mine for references.