2022/11/08 by Naoya Hiramae, Hiramae, Naoya
Mathematics · #16G10 #20C20 #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2211.04030
openalex publication_date 2022/11/08 · openalex created_date 2022/11/14 · openalex updated_date 2026/07/28
In studying the structure of derived categories of module categories of group algebras or their blocks, it is fundamental to classify support τ-tilting modules. Koshio and Kozakai showed that the structure of support τ-tilting modules over blocks of finite groups can be reduced to that of their subgroups under suitable conditions. We show that the 'quotient reduction' is also valid under suitable conditions.