组织者：邱宇

Abstract：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 $\mathcal{O}$.