Ngau Lam

activity

20242026

collaborators

4 papers

math.RT2026

Dualities of Gaudin models with irregular singularities for general linear Lie (super)algebras

Wan Keng Cheong, Ngau Lam

We prove an equivalence between the actions of the Gaudin algebras with irregular singularities for $gl_{d}$ and $gl_{p + m ∣ q + n}$ on the Fock space of $d (p + m)$ bo…

math.RT2025

Bethe algebras for unitarizable modules over classical Lie (super)algebras and a duality

Wan Keng Cheong, Ngau Lam

Let $g$ denote the classical Lie algebra $gl_{d}$ , $sp_{2 d}$ , or $so_{2 d}$ with a fixed $*$ -structure $I ¨ $ . Let $M_{1}, \dots, M_{ℓ}$ be u…

math.RT2025

Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras

Bintao Cao, Wan Keng Cheong, Ngau Lam

We show that under a generic condition, the quadratic Gaudin Hamiltonians associated to $gl (p + m ∣ q + n)$ are diagonalizable on any singular weight space in any tensor produ…

math.RT2024

The Gaudin model for the general linear Lie superalgebra and the completeness of the Bethe ansatz

Wan Keng Cheong, Ngau Lam

Let $B_{m ∣ n} (z)$ be the Gaudin algebra of the general linear Lie superalgebra $gl_{m ∣ n}$ with respect to a sequence $\underline{\bold…