A complete classification of τ-tilting finite Schur algebras

2021/10/05 by Toshitaka Aoki, Qi Wang, Aoki, Toshitaka +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.2110.02000

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

openalex publication_date 2021/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28 · arxiv created 2026/08/01 · arxiv updated 2026/08/04

Abstract

In this paper, we determine the τ-tilting finiteness for some blocks of classical Schur algebras. Combining with the results in arXiv:2010.05206, 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.

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