中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

表示论讨论班

Speaker: 肖维教授（深圳大学）

Inviter: 聂思安

Language: Chinese

Title: Weight tables and the product-generated structure of the parabolic category O

Time & Venue: 2025年11月28日（星期五） 14:30 - 15:30 &腾讯会议：679-216-487密码：123456

Abstract:This talk presents a detailed analysis of product-generated structures within the parabolic category 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 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 O.