Xin Huang

collaborators

3 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

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.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…

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

Local Weyl modules and skew Howe duality

Quantum vertex algebra associated to quantum toroidal glN​

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

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