主讲人:张印火教授
主持人:胡乃红教授
开始时间:2017-9-29(周五) 15:00-16:00
讲座地址:闵行校区数学楼401报告厅
报告人简介:
比利时Hasselt大学数学系教授、Hopf代数、量子群与非交换几何专家张印火教授。
报告内容简介:
We study the Green ring and the stable Green ring of a finite dimensional Hopf algebra by means of bilinear forms. We show that the Green ring of a Hopf algebra of finite representation type is a Frobenius algebra over $\mathbb{Z}$ with a dual basis associated to almost split sequences. On the stable Green ring we define a new bilinear form which is more accurate to determine the bi-Frobenius algebra structure on the stable Green ring. We show that the complexified stable Green algebra is a group-like algebra, and hence a bi-Frobenius algebra, if the bilinear form on the stable Green ring is non-degenerate.