Wilfrid Laurier University

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20032026

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math.RT2025

On the boundary Carrollian conformal algebra

Lucas Buzaglo, Xiao He, Tuan Anh Pham +3

We initiate the mathematical study of the boundary Carrollian conformal algebra (BCCA), an infinite-dimensional Lie algebra recently discovered in the context of Carrollian physics…

math.RT2019

The category of weight modules for symplectic oscillator Lie algebras

Genqiang Liu, Kaiming Zhao

The rank $n$ symplectic oscillator Lie algebra $g_{n}$ is the semidirect product of the symplectic Lie algebra $sp_{2 n}$ and the Heisenberg Lie algebra $H_{n}$ . I…

math.RT2019★ 12 cited

Actions of monoidal categories and representations of Cartan type Lie algebras

Yufeng Pei, Yunhe Sheng, Rong Tang +1

Using crossed homomorphisms, we show that the category of weak representations (resp. admissible representations) of Lie-Rinehart algebras (resp. Leibniz pairs) is a left module ca…

math.RT2016★ 1 cited

Certain families of Polynomials arising in the study of hyperelliptic Lie algebras

Ben Cox, Kaiming Zhao

The associative ring $R (P (t)) = C [t^{\pm 1}, u ∣ u^{2} = P (t)]$ , where $P (t) = \sum_{i = 0}^{n} a_{i} t^{i} = \prod_{k = 1}^{n} (t - α_{i})$ with $α_{i} \in C$ pairwise distinct, is the coordinat…

math.RT2015★ 4 cited

Classification of irreducible bounded weight modules over the derivation Lie algebras of quantum tori

Genqiang Liu, Kaiming Zhao

In this paper, we give a complete classification of irreducible bounded weight modules over the derivation Lie algebras of rational quantum tori

math.RT2014★ 2 cited

Simple superelliptic Lie algebras

Ben Cox, Xiangqian Guo, Rencai Lu +1

Let $m \in N$ , $P (t) \in C [t]$ . Then we have the Riemann surfaces (commutative algebras) $R_{m} (P) = C [t^{\pm 1}, u ∣ u^{m} = P (t)]$ and $S_{m} (P) = C [t, u ∣ u^{m} = P (t)] .$ The Lie algebras $\mathcal…