Chih-Whi Chen

activity

20162026

most citedWhittaker modules for classical Lie superalgebras

23 citations · 70 across the 23 of their papers we have counts for

collaborators

23 papers

math.RT2026

Categorical Equivalences of Finite W-Superalgebras and Clifford Twists

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

Associated with an even nilpotent element $e$ in a basic classical Lie superalgebra $g$ , we study, in full generality, two constructions of finite $W$ -superalgebras, def…

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

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 $s \otimes Λ (θ)$ , where $θ$ is an odd indetermin…

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 $Γ_{ζ}$ …

math.RT2022★ 8 cited

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.RT2021★ 2 cited

Annihilator ideals and blocks of Whittaker modules over quasireductive Lie superalgebras

Chih-Whi Chen

We extend Kostant's result on annihilator ideals of non-singular simple Whittaker modules over Lie algebras to (possibly singular) simple Whittaker modules over Lie superalgebras.…

math.RT2021

On semisimplicity of Jantzen middles for the periplectic Lie superalgebra

Chih-Whi Chen

We prove that an integral block of the category $O$ of the periplectic Lie superalgebra contains a non-semisimple Jantzen middle if and only if it contains a simple module…

math.RT2021★ 23 cited

Whittaker modules for classical Lie superalgebras

Chih-Whi Chen

We classify simple Whittaker modules for classical Lie superalgebras in terms of their parabolic decompositions. We establish a type of Miličić-Soergel equivalence of a category of…

math.RT2020★ 1 cited

Blocks and characters of $G (3)$ -modules of non-integral weights

Chih-Whi Chen, Shun-Jen Cheng, Li Luo

We classify blocks in the BGG category $O$ of modules of non-integral weights for the exceptional Lie superalgebra $G (3)$ . We compute the characters for tilting modules of…

math.RT2020★ 1 cited

Some homological properties of category $O$ for Lie superalgebras

Chih-Whi Chen, Volodymyr Mazorchuk

For classical Lie superalgebras of type I, we provide necessary and sufficient conditions for a Verma supermodule $Δ (λ)$ to be such that every non-zero homomorphism from another Ve…

math.RT2020★ 2 cited

Parabolic category $O^{p}$ for periplectic Lie superalgebras $pe (n)$

Chih-Whi Chen, Yung-Ning Peng

We provide a linkage principle in an arbitrary parabolic category $O^{p}$ for the periplectic Lie superalgebras $pe (n)$ . As an application, we classif…

math.RT2020

Blocks and characters of $D (2∣1; ζ)$ -modules of non-integral weights

Chih-Whi Chen, Shun-Jen Cheng, Li Luo

We classify blocks in the BGG category $O$ of modules of non-integral weights for the exceptional Lie superalgebra $D (2∣1; ζ)$ . We establish various reduction methods, whic…

math.RT2019★ 17 cited

Tilting modules for classical Lie superalgebras

Chih-Whi Chen, Shun-Jen Cheng, Kevin Coulembier

We study tilting and projective-injective modules in a parabolic BGG category $O$ for an arbitrary classical Lie superalgebra. We establish a version of Ringel duality for…

math.RT2018★ 3 cited

Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

Chih-Whi Chen, Kevin Coulembier, Volodymyr Mazorchuk

We prove that the tensor product of a simple and a finite dimensional $sl_{n}$ -module has finite type socle. This is applied to reduce classification of simple $\mathfrak{…

math.RT2018

Extreme representations of semirings

Chih-Whi Chen, Brendan Frisk Dubsky, Helena Jonsson +4

This is a write-up of the discussions during the meetings of the study group on representation theory of semirings which was organized at the Department of Mathematics, Uppsala Uni…

math.RT2018★ 4 cited

The primitive spectrum and category O for the periplectic Lie superalgebra

Chih-Whi Chen, Kevin Coulembier

We solve two problems in representation theory for the periplectic Lie superalgebra pe(n), namely the description of the primitive spectrum in terms of functorial realisations of t…

math.RT2018★ 1 cited

Simple supermodules over Lie superalgebras

Chih-Whi Chen, Volodymyr Mazorchuk

We show that, for many Lie superalgebras admitting a compatible $Z$ -grading, Kac induction functor gives rise to a bijection between simple supermodules over a Lie superal…

math.RT2018★ 1 cited

Projective modules over classical Lie algebras of infinite rank in the parabolic category

Chih-Whi Chen, Ngau Lam

We study the truncation functors and show the existence of projective cover of each irreducible module in parabolic BGG category $O$ over infinite rank Lie algebra of type…

math.RT2016

Affine Periplectic Brauer Algebras

Chih-Whi Chen, Yung-Ning Peng

We formulate Nazarov-Wenzl type algebras $P_{d}^{-}$ for the representation theory of the Periplectic Lie superalgebras $p (n)$ . We establish a Arakawa-Suzuki typ…

math.RT2016★ 7 cited

Reduction method for representations of queer Lie superalgebras

Chih-Whi Chen

We develop a reduction procedure which provides an equivalence from an arbitrary block of the BGG category for the queer Lie superalgebra $q (n)$ to a " $Z \pm s$ -…

math.RT2016

Quantum group of type $A$ and representations of queer Lie superalgebra

Chih-Whi Chen, Shun-Jen Cheng

We establish a maximal parabolic version of the Kazhdan-Lusztig conjecture \cite[Conjecture 5.10]{CKW} for the BGG category $O_{k, ζ}$ of $q (n)$ -modules of "$\p…

Categorical Equivalences of Finite W-Superalgebras and Clifford Twists

Whittaker modules and representations of finite W-algebras of queer 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 categories of quasi-reductive Lie superalgebras and principal finite W-superalgebras

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

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

Annihilator ideals and blocks of Whittaker modules over quasireductive Lie superalgebras

On semisimplicity of Jantzen middles for the periplectic Lie superalgebra

Whittaker modules for classical Lie superalgebras

Blocks and characters of G(3)-modules of non-integral weights

Some homological properties of category O for Lie superalgebras

Parabolic category Op for periplectic Lie superalgebras pe(n)

Blocks and characters of D(2∣1;ζ)-modules of non-integral weights

Tilting modules for classical Lie superalgebras

Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

Extreme representations of semirings

The primitive spectrum and category O for the periplectic Lie superalgebra

Simple supermodules over Lie superalgebras

Projective modules over classical Lie algebras of infinite rank in the parabolic category

Affine Periplectic Brauer Algebras

Reduction method for representations of queer Lie superalgebras

Quantum group of type A and representations of queer Lie superalgebra

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

Blocks and characters of $G (3)$ -modules of non-integral weights

Some homological properties of category $O$ for Lie superalgebras

Parabolic category $O^{p}$ for periplectic Lie superalgebras $pe (n)$

Blocks and characters of $D (2∣1; ζ)$ -modules of non-integral weights

Quantum group of type $A$ and representations of queer Lie superalgebra