On $\tau$-tilting finiteness of blocks of Schur algebras

Abstract

In this paper, we determine the $\tau$-tilting finiteness for some blocks of (classical) Schur algebras. Combining with the results in arXiv:2010.05206, we get a complete classification of $\tau$-tilting finite Schur algebras. As a refinement, we also give a complete classification of $\tau$-tilting finite blocks of the Schur algebra $S(2,r)$.