A complete classification of $\tau$-tilting finite 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. We also give a complete classification of $\tau$-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.

arXiv comment30 pages, final version, published in the International Journal of Algebra and Computation