Shun-Jen Cheng

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20242026

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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.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…

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

Super duality for Whittaker modules and finite W-algebras

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

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