Representation of an associative algebra
= Representation of an associative algebra
{title2=$\rho:A\to\operatorname{End}_k(V)$}
= Algebra representation
{synonym}
An algebra representation is a unital <algebra homomorphism> into the <endomorphisms> of a <vector space>. It is equivalent to making that <vector space> a left <module> over the algebra, with $av=\rho(a)v$.