报告主题：有限群的Frobenius-Schur 指标和幂指数与融合范畴
报告人：吴少雄 教授 (Louisiana State University)
报告时间：2016年12月14日（周三）14:00
报告地点：校本部G507
邀请人：郭秀云教授
主办部门：永利数学系
报告摘要：The exponent of a finite group is an invariant of the tensor category of its complex representations. Using Frobenius-Schur indicators, one can rediscover the Cauchy theorem for finite groups in terms of their exponents and orders. In this talk, we introduce the Frobenius-Schur indicators for Hopf algebras as well as fusion categories. Moreover, we discuss some of their arithmetic properties and applications to the congruence subgroup theorem and the Cauchy theorem for fusion categories.
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