报告题目：Representations of the N=1 Heisenberg-Virasoro superalgebra
报告人：陈海波副教授（集美大学）
时 间：2026年6月25日10:30-12:00
地 点：理学院1号楼1-301
摘要：In this talk, we first introduce a class of non-weight modules over the N=1 Heisenberg-Virasoro superalgebra $\mathfrak{g}$, which are reducible modules. Then we give all submodules of such modules, and present the corresponding irreducible quotient modules. Also, we prove that those modules constitute a complete classification of $U(\mathfrak{h})$-free modules of rank $2$ over $\mathfrak{g}$, where $\mathfrak{h}=\C L_{0}\oplus\C H_{0}$ is a degree-0 subalgebra of $\mathfrak{g}$. As an application, we obtain a class of weight $\mathfrak{g}$-modules from those non-weight $\mathfrak{g}$-modules by the weighting functor. Furthermore, we study the non-weight modules over the four subalgebras of $\mathfrak{g}$: (i) the Heisenberg-Virasoro algebra; (ii) the Neveu-Schwarz algebra; (iii) the Fermion-Virasoro algebra; (iv) the Heisenberg-Clifford superalgebra.
报告人简介：陈海波，集美大学副教授，主要研究无穷维李代数的结构与表示理论。主持过国家自然科学青年项目，参与国家自科面上项目，在P. Edinburgh Math. Soc., J. Algebra, J. Pure Appl. Algebra等SCI杂志发表文章20余篇。
