@article{oai:oist.repo.nii.ac.jp:02000064,
 author = {Ariki Susumu and Lyle Sinéad and Speyer Liron},
 journal = {Journal of the London Mathematical Society},
 month = {Aug},
 note = {For any algebra 𝐴 over an algebraically closed field 𝔽, we say that an 𝐴-module 𝑀 is Schurian ifEnd𝐴(𝑀) ≅ 𝔽. We say that 𝐴 is Schurian-finite if there are only finitely many isomorphism classes of Schurian 𝐴-modules, and Schurian-infinite otherwise. By work of Demonet, Iyama and Jasso, it is known that Schurian-finiteness is equivalent to 𝜏-tilting-finiteness, so thatwemay drawon a wealth of known results in the subject. We prove that for the type 𝐴 Hecke algebras with quantum characteristic 𝑒 ⩾ 3, all blocks of weight at least 2 are Schurianinfinite in any characteristic. Weight 0 and 1 blocks are known by results of Erdmann and Nakano to be representation finite, and are therefore Schurian-finite. This means that blocks oftype 𝐴 Hecke algebras (when 𝑒 ⩾ 3) are Schurian-infinite if and only if they have wild representation type if and only if the module category has finitely many wide subcategories. Along theway, we also prove a graded version of the Scopes equivalence, which is likely to be of independent interest.},
 title = {Schurian‐finiteness of blocks of type 𝑨 Hecke algebras},
 year = {2023}
}