Hall algebra of the projective line and q-Onsager algebra

：卢明（四川大学）
：2021-04-01 16:30
：厦大海韵园实验楼106报告厅

报告人：卢明（四川大学）

时  间：4月1日下午16:30

地  点：厦大海韵园实验楼106报告厅

内容摘要:

A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an i-quantum group). A quantum group can be viewed as an example of i-quantum groups associated to symmetric pairs of diagonal type.

Recently, we introduced a Drinfeld type presentation for affine i-quantum groups and obtained a geometric construction via (weighted) projective lines. It is a part of the program “i-Hall algebras and quantum symmetric pairs” initiated by Weiqiang Wang and the speaker in 2018. In this talk, we mainly focus on the i-quantum group of type affine sl2, which is also called q-Onsager algebra. The Drinfeld type presentation of the q-Onsager algebra is introduced, and it can be realized by using the i-Hall algebra of the projective line. This is joint work with Shiquan Ruan and Weiqiang Wang.

人简介：

卢明，四川大学数学学院副教授，研究兴趣为表示论，李理论，代数几何等方面的交叉研究。2018年，与弗吉尼亚大学王伟强教授发起i-量子群的Hall代数实现和几何实现的研究。在Adv. Math., Comm. Math. Phys., J. Algebra, J. Pure Appl. Algebra, Transform. Groups等期刊上发表论文20余篇。

 

联系人：阮诗佺