Chih-Whi Chen

collaborators

4 papers

math.RT2025

Whittaker modules and representations of finite $W$ -algebras of queer Lie superalgebras

Chih-Whi Chen, Shun-Jen Cheng

We study various categories of Whittaker modules over the queer Lie superalgebras $q (n)$ . We formulate standard Whittaker modules and reduce the problem of composition fa…

math.RT2025

Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras

Chih-Whi Chen, Shun-Jen Cheng, Volodymyr Mazorchuk

We study various categories of Whittaker modules over a type I Lie superalgebra realized as cokernel categories that fit into the framework of properly stratified categories. These…

math.RT2025

Serre functors for Lie superalgebras and tensoring with $S^{top} (g_{1})$

Chih-Whi Chen, Volodymyr Mazorchuk

We show that the action of the Serre functor on the subcategory of projective-injective modules in a parabolic BGG category $O$ of a quasi-reductive finite dimensional Lie…

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 $s \otimes I^ (I^¸)$ , where $I^¸$ is an odd indeter…

Whittaker modules and representations of finite W-algebras of queer Lie superalgebras

Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras

Serre functors for Lie superalgebras and tensoring with Stop(g1​)

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

Whittaker modules and representations of finite $W$ -algebras of queer Lie superalgebras

Serre functors for Lie superalgebras and tensoring with $S^{top} (g_{1})$

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