报告时间：5月22日（周五）13：30-14：20
报告地点：数学楼401
报告人：朱胜林（复旦大学）
主持人：胡乃红
摘要：
Let G be a finite group and C=_{G}^{G}YD be the corresponding tensor category of Yetter-Drinfeld modules. Then the conjugacy class decomposition of G interprets C as a direct sum of indecomposable C-module categories, with each such indecomposable C-module category itself being a tensor category, which is isomorphic to a module category over a subgroup algebra of G. In this talk we extended this result to finite dimensional quasi-triangular Hopf algebras, and try to find mechanism to reconstruct the tensor category _{H}^{H}YD from the indecomposable module categories.For any finite group and positive integer number n, we classify the representation type of the near group fusion algebra over any algebraically closed field and give a bi-algebra structure of the near group fusion algebra when n is not necessarily divided by the characteristic of the field.
报告人简介：
朱胜林，复旦大学数学科学学院教授、博士生导师，研究领域为代数学，主要研究方向是Hopf代数结构理论、Yetter-Drinfeld 模及Doi-Hopf模范畴理论等。曾获国家教委科技进步二等奖，在Adv. Math.，Trans. Amer. Math. Soc.，J. Algebra，Israel J. Math.等杂志发表多篇Hopf代数方面的学术论文以及专著。