A representation ϕ\phiϕ of a Lie algebra LLL is a homomorphism to the general linear algebra (ϕ:L→gl(V)\phi:L \to \mathfrak{gl}(V)ϕ:L→gl(V)) where VVV is a vector space. Here we require the dimension of the vector space underlying LLL to be finite, but admit arbitrary dimension for VVV.
Wikidata ID: Q1136782