Whittaker categories of quasi-reductive Lie superalgebras and principal finite W-superalgebras

Chih-Whi Chen, Shun-Jen Cheng

We study the Whittaker category $\mathcal{N}(\zeta )$ of the Lie superalgebra $\mathfrak{g}$ for an arbitrary character $\zeta$ of the even subalgebra of the nilpotent radical associated with…