Weight tables and the product-generated structure of the parabolic category

This talk presents a detailed analysis of product-generated structures within the parabolic category $\mathcal{O}$, with a special focus on Lie algebras of type A. In particular, the perspective of viewing weight vectors as tables plays a crucial role throughout the discussion. The presentation begins with an introduction to the parabolic category $\mathcal{O}$ and its significance in algebraic contexts, then explores the distinctive features and importance of these product-generated structures. As an application, we demonstrate how this approach resolves the problem of block decomposition for the parabolic category $\mathcal{O}$.

Organizer: Yu Qiu 邱宇

Speaker

Wei Xiao 肖维Shenzhen University 深圳大学02

Time

Sat., 14:00-15:00, July 19, 2025

Venue

C654, Shuangqing Complex Building A

About the speaker

肖维于清华大学基础科学班获得学士学位、清华大学数学科学系获得硕士学位，香港科技大学数学系获得博士学位。主要从事李群和李代数的表示论研究工作，先后在Selecta. Math.(N.S.), Int. Math. Res. Not., Math. Res. Lett., Sci. China Math., J. Algebra等期刊上发表论文十余篇。

个人主页：

https://math.szu.edu.cn/info/1098/1610.htm