Fulin Chen

activity

20132026

most citedTwisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation

5 citations · 32 across the 23 of their papers we have counts for

collaborators

24 papers

math.RT2026

Parabolic induction for Takiff algebras and character formulas in Chari's category $O$

Fulin Chen, Xin Huang, Ruling Zhou

Let $g$ be a finite-dimensional complex semisimple Lie algebra, and let $C_{N} g = g \otimes (C [t] / t^{N + 1} C [t])$ denote the $…

math.RT2026

Almost multiplicity-one property of spherical varieties over finite fields

Fulin Chen, Fang Shi, Shaobin Tan

Let $H$ be a connected algebraic subgroup of a connected reductive group $G$ over a finite field $F_{q}$ such that $G / H$ is a $G$ -spherical variety, i.e., $G / H$ has an open d…

math.RT2026

Local Weyl modules and skew Howe duality

Fulin Chen, Xin Huang, Siyi Niu +1

The skew $(gl_{n}, gl_{r})$ Howe duality states that the exterior algebra $Λ (C^{n r})$ admits a multiplicity-free decomposition under the natural acti…

math.RT2025

Non-weight modules over gap- $p$ Virasoro algebras

Chengkang Xu, Fulin Chen, Shaobin Tan

In this paper, we study non-weight modules over gap- $p$ Virasoro algebras, including Whittaker modules, $U (C L_{0})$ -free modules and their tensor products. We est…

math.QA2024

Quantum vertex algebra associated to quantum toroidal $gl_{N}$

Fulin Chen, Xin Huang, Fei Kong +1

In this paper, we associate the quantum toroidal algebra $E_{N}$ of type $gl_{N}$ with quantum vertex algebra through equivariant $ϕ$ -coordinated quasi modules. Mo…

math.QA2023

Howe duality in the toroidal setting

Fulin Chen, Xin Huang, Shaobin Tan

In this paper, we construct and study various dual pairs acting on the oscillator modules of the symplectic toroidal Lie algebras coordinated by irrational quantum tori. This exten…

math.QA2023

Vertex algebras and TKK algebras

Fulin Chen, Lingen Ding, Qing Wang

In this paper, we associate the TKK algebra $G (J)$ with vertex algebras through twisted modules. Firstly, we prove that for any complex number $ℓ$ ,…

math.QA2022

A unified construction of vertex algebras from infinite-dimensional Lie algebras

Fulin Chen, Xiaoling Liao, Shaobin Tan +1

In this paper, we give a unified construction of vertex algebras arising from infinite-dimensional Lie algebras, including the affine Kac-Moody algebras, Virasoro algebras, Heisenb…

math.QA2022

Irreducible modules of toroidal Lie algebras arising from $ϕ_{ε}$ -coordinated modules of vertex algebras

Fulin Chen, Huansheng Li, Nina Yu

In this paper, for every $ε \in Z$ , we introduce an extension of the 2-toroidal Lie algebra by certain derivations. Based on the $ϕ_{ε}$ -coordinated modules theory for vertex…

math.QA2021

Extended affine Lie algebras, vertex algebras and equivariant $ϕ$ -coordinated quasi modules

Fulin Chen, Shaobin Tan, Nina Yu

For any nullity $2$ extended affine Lie algebra $E$ of maximal type and $ℓ \in C$ , we prove that there exist a vertex algebra $V_{E} (ℓ)$ and an aut…

math.QA2021★ 1 cited

$(G, χ_{ϕ})$ -equivariant $ϕ$ -coordinated modules for vertex algebras

Fulin Chen, Xiaoling Liao, Shaobin Tan +1

To give a unified treatment on the association of Lie algebras and vertex algebras, we study $(G, χ_{ϕ})$ -equivariant $ϕ$ -coordinated quasi modules for vertex algebras, where $G$ is a…

math.QA2021★ 3 cited

Toroidal extended affine Lie algebras and vertex algebras

Fulin Chen, Haisheng Li, Shaobin Tan

In this paper, we study nullity-2 toroidal extended affine Lie algebras in the context of vertex algebras and their $ϕ$ -coordinated modules. Among the main results, we introduce a…

math.QA2020★ 1 cited

On quantum toroidal algebra of type $A_{1}$

Fulin Chen, Naihuan Jing, Fei Kong +1

In this paper we introduce a new quantum algebra which specializes to the $2$ -toroidal Lie algebra of type $A_{1}$ . We prove that this quantum toroidal algebra has a natural triangul…

math.QA2020★ 2 cited

Twisted quantum affinizations and quantization of extended affine Lie algebras

Fulin Chen, Naihuan Jing, Fei Kong +1

In this paper, for an arbitrary Kac-Moody Lie algebra $g$ and a diagram automorphism $μ$ of $g$ satisfying certain natural linking conditions, we introduce and…

math.QA2020★ 3 cited

Extended affine Lie algebras, vertex algebras, and reductive groups

Fulin Chen, Haisheng Li, Shaobin Tan +1

In this paper, we explore natural connections among the representations of the extended affine Lie algebra $s l_{N} (C_{q})$ with $\mathbb{C}_q=\mathbb{C}_q[t_0^{\pm1}…

math.QA2019★ 3 cited

Drinfeld type presentations of loop algebras

Fulin Chen, Naihuan Jing, Fei Kong +1

Let $g$ be the derived subalgebra of a Kac-Moody Lie algebra of finite type or affine type, $μ$ a diagram automorphism of $g$ and $L (g, μ)$ the loop…

math.RA2019★ 5 cited

Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation

Fulin Chen, Naihuan Jing, Fei Kong +1

Let $\fg$ be an affine Kac-Moody algebra, and $μ$ a diagram automorphism of $\fg$. In this paper, we give an explicit realization for the universal central extension $\wh\fg[μ]$ of…

math.QA2018★ 4 cited

Twisted quantum affinizations and their vertex representations

Fulin Chen, Naihuan Jing, Fei Kong +1

In this paper we generalize Drinfeld's twisted quantum affine algebras to construct twisted quantum algebras for all simply-laced generalized Cartan matrices and present their vert…

math.RT2018★ 1 cited

Classification of integrable representations for toroidal extended affine Lie algebras

Fulin Chen, Zhiqiang Li, Shaobin Tan

In this paper, we classify the irreducible integrable modules with finite dimensional weight spaces and non-trivial $g_{c}$ -action for the nullity $2$ toroidal…

math.RT2017★ 2 cited

Integrable representations for toroidal extended affine Lie algebras

Fulin Chen, Zhiqiang Li, Shaobin Tan

Let $\fg$ be any untwisted affine Kac-Moody algebra, $μ$ any fixed complex number, and $\wt\fg(μ)$ the corresponding toroidal extended affine Lie algebra of nullity two. For any $k…

math.RT2017★ 4 cited

Uniqueness of twisted linear periods and twisted Shalika periods

Fulin Chen, Binyong Sun

Let $\rk$ be a local field of characteristic zero. Let $π$ be an irreducible admissible smooth representation of $\GL_{2n}(\rk)$. We prove that for all but countably many character…

math.QA2014★ 3 cited

Twisted vertex operators and unitary Lie algebras

Fulin Chen, Yun Gao, Naihuan Jing +1

A representation of the central extension of the unitary Lie algebra coordinated with a skew Laurent polynomial ring is constructed using vertex operators over an integral Z_2-latt…

math.RT2013

Uniqueness of Rankin-Selberg periods

Fulin Chen, Binyong Sun

Let $k$ be a local field of characteristic zero. Rankin-Selberg's local zeta integrals produce linear functionals on generic irreducible admissible smooth representations of $GL_n(…

math.RT2013

Twisted $Γ$ -Lie algebras and their vertex operator representations

Fulin Chen, Shaobin Tan, Qing Wang

Let $Γ$ be a generic subgroup of the multiplicative group $C^{*}$ of nonzero complex numbers. We define a class of Lie algebras associated to $Γ$ , called twisted $Γ$ -Lie alg…

Parabolic induction for Takiff algebras and character formulas in Chari's category O

Almost multiplicity-one property of spherical varieties over finite fields

Local Weyl modules and skew Howe duality

Non-weight modules over gap-p Virasoro algebras

Quantum vertex algebra associated to quantum toroidal glN​

Howe duality in the toroidal setting

Vertex algebras and TKK algebras

A unified construction of vertex algebras from infinite-dimensional Lie algebras

Irreducible modules of toroidal Lie algebras arising from ϕε​-coordinated modules of vertex algebras

Extended affine Lie algebras, vertex algebras and equivariant ϕ-coordinated quasi modules

(G,χϕ​)-equivariant ϕ-coordinated modules for vertex algebras

Toroidal extended affine Lie algebras and vertex algebras

On quantum toroidal algebra of type A1​

Twisted quantum affinizations and quantization of extended affine Lie algebras

Extended affine Lie algebras, vertex algebras, and reductive groups

Drinfeld type presentations of loop algebras

Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation

Twisted quantum affinizations and their vertex representations

Classification of integrable representations for toroidal extended affine Lie algebras

Integrable representations for toroidal extended affine Lie algebras

Uniqueness of twisted linear periods and twisted Shalika periods

Twisted vertex operators and unitary Lie algebras

Uniqueness of Rankin-Selberg periods

Twisted Γ-Lie algebras and their vertex operator representations

Parabolic induction for Takiff algebras and character formulas in Chari's category $O$

Non-weight modules over gap- $p$ Virasoro algebras

Quantum vertex algebra associated to quantum toroidal $gl_{N}$

Irreducible modules of toroidal Lie algebras arising from $ϕ_{ε}$ -coordinated modules of vertex algebras

Extended affine Lie algebras, vertex algebras and equivariant $ϕ$ -coordinated quasi modules

$(G, χ_{ϕ})$ -equivariant $ϕ$ -coordinated modules for vertex algebras

On quantum toroidal algebra of type $A_{1}$

Twisted $Γ$ -Lie algebras and their vertex operator representations