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.

刘东，湖州师范大学教授、新疆大学天山学者、博士生导师，曾获浙江省“151人才”（第二层次），湖州市市万人计划，浙江省自然科学基金委“十一五优秀成果奖”。主持国家自然科学基金面上项目3项、浙江省自然科学基金项目4项（含重点项目一项）。在《J．Algebra》 《Israel J. Math》 《Proc. ROY. SOC. EDINB.A》 《Commun Contempt. Math.》等期刊上发表论文60余篇。