2025/09/08 by Ying Zheng, Zheng, Ying, Jiacheng Bao +3
Mathematics · #18M20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2509.06320
openalex publication_date 2025/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For any cyclic group ℤn, we first determine the Casimir number and determinant of the Haagerup-Izumi fusion ring HIℤn, it turns out that they do not share the same set of prime factors. Then we show that all finite-dimensional irreducible representations of HIℤn are defined over certain cyclotomic fields. As a direct result, we obtain the formal codegrees of HIℤn, which satisfy the pseudo-unitary inequality.