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Existence of a 2-cluster tilting module does not imply finite complexity

2021/01/14 by René Marczinzik, Laertis Vaso
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Cluster (spacecraft) #Combinatorics #Computer science #Mathematics #Nonlinear Waves and Solitons #Programming language #Pure mathematics #Simple (philosophy) #math.RT #msc:16E10 #msc:16G10

paper · pdf · doi:10.1016/j.jalgebra.2022.02.002

4 pages

arxiv created 2021/01/14 · openalex publication_date 2022/02/07 · arxiv updated 2022/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We give an example of a finite-dimensional algebra with a 2-cluster tilting module and a simple module which has infinite complexity. This answers a question of Erdmann and Holm.

Citations