题目：On twisted quantum doubles of finite groups and their exponents

Speaker:

报告人：Siu-Hung Ng (吴少雄）, Professor of Louisiana State University, USA

时间：2017年8月7日 15:30 - 16:30

地点：澳门威斯尼斯615人官方三楼专家接待室

摘要：Given a finite group G and a 3-cocycle w of G, one can construct a quasitriangular quasi-Hopf algebra H, called the twisted quantum double of (G,w). The category H-mod of finite dimensional modules over H is a modular tensor category. However, two different pairs (G, w), and (G’, w’) may yield equivalent twisted quantum doubles, that means their representation categories are equivalent modular tensor categories. In this talk, we will discuss these twisted quantum doubles and their exponents.

报告人简介：

Siu-Hung Ng (吴少雄），美国路易斯安那州立大学数学系教授，博士生导师。美国Rutgers 大学博士毕业，现从事Hopf 代数, quasi-Hopf代数与张量范畴研究，目前对有限维Hopf代数分类及中枢的张量范畴的不变量如：Frobenius-Schur指标与指数等感兴趣，研究涉及数学与数学物理的众多研究领域如：有限维代数与群的表示，扭结不变量，共型场理论等。 已在《Journal of the American Mathematical Society》, 《Advances in Mathematics》, 《Transactions of the American Mathematical Society》,  《Communications in Mathematical Physics》, 《Int. Math. Res. Notices》，《Journal of London Mathematical Society》,《Journal of Algebra》, 《Israel Journal of Mathematics》,《 Journal of Pure and Applied Algebra》等国际重要学术刊物上发表论文30余篇。