Let GGG be a group and VVV a vector space. The trivial representation is the representation ρ:G→GL(V)\rho: G\to \text{GL}(V)ρ:G→GL(V) such that for all g∈Gg\in Gg∈G, ρ(g)=idV\rho(g) = \text{id}_Vρ(g)=idV.
Wikidata ID: Q7844662