In this paper, we determine the 𝜏-tilting finiteness for some blocks of classical Schur algebras. Combining with the results in W3, we get a complete classification of 𝜏-tilting finite Schur algebras. We also give a complete classification of 𝜏-tilting finite blocks of the Schur algebra S(2, r). As an application, we obtain a classification of strictly wild Schur algebras, except for three remaining open cases.
Aoki et al. (Thu,) studied this question.