Abstract:
In this talk, we will introduce a construction of simple and standard Whittaker modules for finite-dimensional Lie superalgebras. We will present a solution to the multiplicity problem of standard Whittaker modules in terms of that of Verma modules. For a basic classical and a strange Lie superalgebras, we will explain a super analogue of Soergel’s Struktursatz for a certain Whittaker functor from the integral BGG category O to the category of finite-dimensional modules over the principal finite W-superalgebra. This is joint work with Shun-Jen Cheng and Volodymyr Mazorchuk.
2024-11-04 16:00 ~ 2024-11-04 17:00
陳志瑋教授 (中央數學系)
Room 201, General Building III