Fei Kong

activity

20242026

collaborators

5 papers

math.QA2026

Double Yangians and quantum vertex algebras, I

Fei Kong, Haisheng Li

For any symmetrizable generalized Cartan matrix $A$ , we introduce an algebra $DY (A)$ , which is essentially the centrally extended double Yangian when $A$ is of…

math.QA2026

Quantum affine vertex algebra at root of unity

Fei Kong

Let $g$ be a finite simple Lie algebra, and let $r$ denote the ratio of the square length of long roots to that of short roots. Let $℘ > 2 r$ be an integer and $I^¶$ a prim…

math.QA2025

Quantization of parafermion vertex algebras

Fei Kong

Let $g$ be a finite dimensional simple Lie algebra over $C$ , and let $ℓ$ be a positive integer. In this paper, we construct the quantization $K_{\hat{\mathfrak…

math.QA2025

Double Yangians and lattice quantum vertex algebras

Fei Kong, Haisheng Li

For any simply-laced GCM $A$ , a $C [[ℏ]]$ -algebra $DY (A)$ was introduced in [KL1], where it was proved that the universal vacuum $\widehat{\mathcal{D…

math.QA2024

Representations of quantum lattice vertex algebras

Fei Kong

Let $Q$ be a non-degenerated even lattice, let $V_{Q}$ be the lattice vertex algebra associated to $Q$ , and let $V_{Q}^{I^} \cdot$ be a quantum lattice vertex algebra. In this paper, we prove…