Chih-Whi Chen

activity

20222024

collaborators

4 papers

math.RT2024

Whittaker modules of central extensions of Takiff superalgebras and finite supersymmetric $W$ -algebras

Chih-Whi Chen, Shun-Jen Cheng, Uhi Rinn Suh

For a basic classical Lie superalgebra $s$ , let $g$ be the central extension of the Takiff superalgebra $s \otimes Λ (θ)$ , where $θ$ is an odd indetermin…

math.RT2023

Kostant's problem for Whittaker modules

Chih-Whi Chen

We study the classical problem of Kostant for Whittaker modules over Lie algebras and Lie superalgebras. We give a sufficient condition for a positive answer to Kostant's problem f…

math.RT2023

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

Chih-Whi Chen, Shun-Jen Cheng

We study the Whittaker category $N (ζ)$ of the Lie superalgebra $g$ for an arbitrary character $ζ$ of the even subalgebra of the nilpotent radical associated with…

math.RT2022

Whittaker categories of quasi-reductive Lie superalgebras and quantum symmetric pairs

Chih-Whi Chen, Shun-Jen Cheng

We show that, for an arbitrary quasi-reductive Lie superalgebra with a triangular decomposition and a character $ζ$ of the nilpotent radical, the associated Backelin functor $Γ_{ζ}$ …

Whittaker modules of central extensions of Takiff superalgebras and finite supersymmetric W-algebras

Kostant's problem for Whittaker modules

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

Whittaker categories of quasi-reductive Lie superalgebras and quantum symmetric pairs

Whittaker modules of central extensions of Takiff superalgebras and finite supersymmetric $W$ -algebras