2013/10/31 by Qimh Richey Xantcha
Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Finitary #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Quiver #math.CT #math.RA #math.RT #msc:16G20 #msc:18D05
paper · pdf · doi:10.1112/jlms/jdv037
arxiv created 2015/07/01 · openalex publication_date 2015/08/27 · arxiv updated 2017/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop the theory of 2-quivers and quiver 2-categories to run in parallel with the classical theory of quiver algebras. A quiver 2-category is always finitary, and, conversely, every finitary 2-category will be bi-equivalent with a quiver 2-category for a unique underlying reduced 2-quiver. As an application, we produce an example of a fiat 2-category, one of whose Duflo involutions is not self-adjoint.