2024/12/30 by Yu, Zhiqiang, Zhang, Qing
#FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2412.20763
In this paper, we show the existence of a near-group category of type ℤ / 4ℤ × ℤ / 4ℤ+16 and compute the modular data of its Drinfeld center. We prove that a modular data of rank 10 can be obtained through condensation of the Drinfeld center of the near-group category ℤ / 4ℤ × ℤ / 4ℤ+16, and it can also be realized as the Drinfeld center of a fusion category of rank 4. Moreover, we compute the modular data for the Drinfeld center of a near-group category ℤ / 8ℤ+8 and show that the non-pointed factor of its condensation has the same modular data as the quantum group category C(\mathfrakg2, 4).