Thus the finite dimensional irreducible representations of the Lorentz algebra are classified by an ordered pair of half-integers m = μ and n = ν, conventionally written as one of ( m , n ) ≡ ≡ π π ( m , n ) : s o ( 3 ; 1 ) → → g l ( V ) , where V is a finite-dimensional vector space. These are, up to a similarity transformation, uniquely given by