Bilinear forms on Green rings of finite dimensional Hopf algebras
发布人: 贾挚   发布时间: 2017-09-18   浏览次数: 36

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)  1500-1600

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.