2024/01/04 by S. E. Sanford, Sanford, Sean · 1 citation
Mathematics · #18M20 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2401.02354
openalex publication_date 2024/01/04 · openalex created_date 2024/01/07 · openalex updated_date 2026/07/28
Several complications arise when attempting to work with fusion categories over arbitrary fields. Here we describe some of the new phenomena that occur when the field is not algebraically closed, and we adapt tools such as the Frobenius-Perron dimension in order to accommodate these new effects.