WHITTAKER CATEGORIES OF LIE SUPERALGEBRAS AND FINITE SUPERSYMMETRIC W-ALGEBRA

：陈志玮（台湾“中央”大学）
：2025-08-04 10:00
：海韵园行政楼C503

报告人：陈志玮（台湾“中央”大学）

时  间：2025年8月4日10:00

地  点：海韵园行政楼C503

内容摘要:

We study the category of Whittaker modules for Lie superalgebras. In this talk, we present some constructions of irre ducible Whittaker modules for a basic classical and a strange Lie superalgebras. We explain an equivalence between the categories of modules over the finite supersymmetric W-algebras associated to the odd principal nilpotent element at non-critical levels and the category of the modules over the principal finite W-superalgebra associated to the basic Lie superalgebra. As an application, this allows us to classify and construct irreducible representations of a principal finite supersymmetric W-algebra. This is a joint work with Shun-Jen Cheng and Uhi Rinn Suh.

个人简介：

陈志玮，现为台湾“中央”大学数学系副教授。2016年在台湾大学获得博士学位，主要从事李超代数表示论的研究。相关结果发表在 Comm. Math. Phys.、Trans. Amer. Math. Soc.、Forum Math. Sigma、J. London Math. Soc.、IMRN 等学术期刊。

 

联系人：余铌娜