Wenjun Niu

collaborators

5 papers

math.QA2025

Double Yangian, Factorization, and qKZ-equation for Cotangent Lie Algebras

Raschid Abedin, Wenjun Niu

In this paper, we construct the dual $Y_{ℏ}^{*} (d)$ and double $D Y_{ℏ} (d)$ of the Yangian $Y_{ℏ} (d)$ associated with a cotangent Lie algebra $\m…

math-ph2025

Higgs Branches in the Omega-background via the Category of Line Operators

Thomas Karabela, Wenjun Niu

The vacuum manifold $M$ of a topological twist of a 3d $N = 4$ gauge theory is a hyper-KÃ¤hler variety; deformations and quantizations of $M$ can be con…

math.QA2024

Quantum groupoids from moduli spaces of $G$ -bundles

Raschid Abedin, Wenjun Niu

In a previous work, we have constructed the Yangian $Y_{ℏ} (d)$ of the cotangent Lie algebra $d = T^{*} g$ for a simple Lie algebra $g$ , fr…

math.RT2024

Quantum Groups and Symplectic Reductions

Wenjun Niu

Let $G$ be a reductive algebraic group with Lie algebra $g$ and $V$ a finite-dimensional representation of $G$ . Costello-Gaiotto studied a graded Lie algebra $\mathfrak{…

math.QA2024

Yangian for cotangent Lie algebras and spectral $R$ -matrices

Raschid Abedin, Wenjun Niu

In this paper, we present a canonical quantization of Lie bialgebra structures on the formal power series $d [[t]]$ with coefficients in the cotangent Lie algebra $\m…

Double Yangian, Factorization, and qKZ-equation for Cotangent Lie Algebras

Higgs Branches in the Omega-background via the Category of Line Operators

Quantum groupoids from moduli spaces of G-bundles

Quantum Groups and Symplectic Reductions

Yangian for cotangent Lie algebras and spectral R-matrices

Quantum groupoids from moduli spaces of $G$ -bundles

Yangian for cotangent Lie algebras and spectral $R$ -matrices