Lattice structure of modular vertex algebras

：景乃桓
：2021-04-20 09:00
：厦大海韵园实验楼105报告厅

报告人：景乃桓（北卡罗莱纳州立大学）

时  间：4月20日上午09:00

地  点：厦大海韵园实验楼105报告厅

内容摘要:

In this talk we discuss the integral form of the lattice vertex algebra $V_L$ and the associated vertex group. Dong and Griess have constructed an integral form on the vertex algebra $V_L$ spanned by Schur polynomials.We show that divided powers of general vertex operators preserve the integral lattice spanned by Schur functions indexed by partition-valued functions. We alsoshow that the generalized Garland operators, counterparts of divided powers of Heisenberg elements in affine Lie algebras, also preserve the integral form. These construe analogs of the Kostant $\mathbb Z$-forms for the enveloping algebras of simple Lie algebras and the algebraic affine Lie groups in the situation of the lattice vertex algebras.

个人简介：

景乃桓，北卡州立大学教授。美国耶鲁大学博士。先后获得美国富尔布莱特学者，德国洪堡学者。主要从事无限维李代数、量子群和表示论方面的研究。

 

联系人：陈福林