The finite-dimensional representations of the Lorentz group are classified by pairs of half-integers

Standard representation theory of the Lorentz group (or its cover $SL(2, oackslash mathbb{C})$) shows that finite-dimensional irreducible representations are labeled by pairs of non-negative integers or half-integers $(j_1, j_2)$. Papers [0] and [6] explicitly discuss these finite-dimensional representations and their relation to integer and half-integer spins/helicities. Thus the claim is well-supported by fundamental physics and matching literature.