报告题目 (Title)：Singular vectors, characters, and composition series for the N=1 BMS superalgebra（N=1 BMS超代数的奇异向量、特征和组合级数）

报告人 (Speaker)：刘东教授（湖州师范学院）

报告时间 (Time)：2024年12月20日（周五）15:00-16:00

报告地点 (Place)：校本部GJ303

主办部门：理学院数学系

报告摘要： The N=1 BMS superalgebra is the minimal supersymmetric extension of the BMS algebra with central extensions. This talk investigates the structure of Verma modules over the N=1 BMS superalgebra. We provide a detailed classification of singular vectors, establish necessary and sufficient conditions for the existence of subsingular vectors, uncover the structure of maximal submodules, present the composition series of Verma modules, and derive character formulas for irreducible highest weight modules. This is a joint work with Wei Jiang, Yufeng Pei and Kaiming Zhao.