Shun-Jen Cheng

activity

20242026

collaborators

4 papers

math.RT2026

Simple character formulas for finite $W$ -superalgebras of type $A$

Shun-Jen Cheng, Weiqiang Wang

We establish a canonical basis character formula for the irreducible modules in arbitrary parabolic BGG-type categories, including the category of finite-dimensional modules, for f…

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.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…

math.RT2024

Super duality for Whittaker modules and finite $W$ -algebras

Shun-Jen Cheng, Weiqiang Wang

We establish a super duality as an equivalence between Whittaker module categories over a pair of classical Lie algebra and Lie superalgebra in the infinite-rank limit. Building on…

Simple character formulas for finite W-superalgebras of type A

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

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

Super duality for Whittaker modules and finite W-algebras

Simple character formulas for finite $W$ -superalgebras of type $A$

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

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

Super duality for Whittaker modules and finite $W$ -algebras