On $��$-tilting finiteness of blocks of Schur algebras

• DOI: 10.48550/arxiv.2110.02000
• Publication Date: 2021-01-01
• Authors: Aoki, Toshitaka; Wang, Qi
• Keywords: FOS: Mathematics; Representation Theory (math.RT)

In this paper, we determine the $��$-tilting finiteness for some blocks of (classical) Schur algebras. Combining with the results in arXiv:2010.05206, we get a complete classification of $��$-tilting finite Schur algebras. As a refinement, we also give a complete classification of $��$-tilting finite blocks of the Schur algebra $S(2,r)$.<br/>28 pages<br/>