2019/04/18 by Cain Edie-Michell, Edie-Michell, Cain
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1904.08909
openalex publication_date 2019/04/18 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
In this paper we give a complete classification of unitary fusion categories\n\⊗-generated by an object of dimension \(1 + \√(5))/(2). We show\nthat all such categories arise as certain wreath products of either the\nFibonacci category, or of the dual even part of the 2D2 subfactor. As a\nby-product of proving our main classification result we produce a\nclassification of finite unitarizable quotients of \Fib*N\nsatisfying a certain symmetry condition.\n