电竞菠菜外围app

科学研究
报告题目:

Tensor category of affine Lie algebras

报告人:

杨进伟 副教授 (上海交通大学)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

Tensor structure on the category of affine Lie algebra modules plays an important role in representation theory of affine Lie algebras. In a series of celebrated work, D. Kazhdan and G. Lusztig constructed rigid braided tensor categories of affine Lie algebras at non-positive rational levels, Y.-Z. Huang and J. Lepowsky gave modular tensor category structures at positive integral levels using tensor category theory of vertex operator algebras.

In this talk, we will discuss the existence of tensor categories of affine Lie algebras at positive rational levels as well as several relevant problems. This is joint work with T. Creutzig and Y.-Z. Huang.