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Finite quasi-quantum groups over finite abelian groups
时间:2022年09月02日 11:18 点击数:

报告人:杨毓萍

报告地点:腾讯会议ID:664 637 821

报告时间:2022年09月03日星期六15:00-16:00

邀请人:陈良云、马瑶

报告摘要:

In this talk, I will introduce a classification result of finite-dimensional Nichols algebras of twisted Yetter-Drinfeld modules over finite abelian groups. This result can be applied to the classification of finite-dimensional pointed coquasi-Hopf algebras over finite abelian groups, and the generation problem of pointed finite tensor categories. We can show that every pointed finite tensor category with an abelian Grothendieck group is tensor generated by objects of length 2, this partially confirm the generation conjecture of pointed finite tensor categories due to Etingof, Gelaki, Nikshych and Ostrik. This talk is based on joint work with Hua-Lin Huang, Gongxiang Liu and Yu Ye.

主讲人简介:

杨毓萍,现任西南大学副教授,2010年本科毕业于东北师范大学,2010.9-2016.6在山东大学硕博连读并在比利时Hasselt大学联合培养,分别于2016年和2017年获得山东大学和Hasselt大学博士学位。其主要研究兴趣包括张量范畴、(拟)Hopf代数、量子代数、代数表示论等。在J. rein angew. Math., Trans. Amer. Math. Soc., Sel. Math. New Series., J. Noncommut. Geom.,Sci. China Math. 等杂志发表论文十多篇。

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