From super weyl module to super Virasoro modules

：刘东（湖州师范学院）
：2024-12-16 17:00
：海韵园行政楼C503

报告人：刘东（湖州师范学院）

时  间：2024年12月16日17:00

地  点：海韵园行政楼C503

内容摘要:

In this talk, we introduce a new family of functors from the category of modules over the super Weyl algebra to the category of modules for the super-Virasoro algebras. The properties of these functors are investigated, with an emphasis on natural isomorphisms and irreducibility preservation. By utilizing these functors, we recover some old irreducible super-Virasoro modules, including those from the intermediate series as well as simple U(h)-free modules. Additionally, we provide several families of new irreducible super-Virasoro modules via our constructed functors.

个人简介：

刘东，湖州师范学院教授，博士生导师，中国教育数学专委会常务理事，浙江省新世纪151人才（第二层次）。已主持国家自然科学基金面上项目3项、省部级科研项目4项（含浙江省自然科学基金重点项目1项），获浙江省自然科学基金委“十二五”优秀成果奖1项。研究成果发表在 Commun. Contemp. Math.， J. Algebra, J. Pure Appl. Algebra等学术期刊。