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20232026
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math.QA2026

Quantum affine vertex algebra at root of unity

Fei Kong

Let be a finite simple Lie algebra, and let denote the ratio of the square length of long roots to that of short roots. Let be an integer and a primi…

math.QA2025

Double Yangians and lattice quantum vertex algebras

Fei Kong, Haisheng Li

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

math.QA2025

Double Yangians and quantum vertex algebras, I

Fei Kong, Haisheng Li

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

math.QA2024

Quantum vertex algebra associated to quantum toroidal

Fulin Chen, Xin Huang, Fei Kong +1

In this paper, we associate the quantum toroidal algebra of type with quantum vertex algebra through equivariant -coordinated quasi modules. Mo…

math.QA2024

Twisted tensor products of quantum affine vertex algebras and coproducts

Fei Kong

Let be a symmetrizable Kac-Moody Lie algebra, and let , be the quantum affine vertex algebras con…

math.QA2024

Representations of quantum lattice vertex algebras

Fei Kong

Let be a non-degenerated even lattice, let be the lattice vertex algebra associated to , and let be a quantum lattice vertex algebra. In this paper, we prove t…

math.QA2023

Quantization of parafermion vertex algebras

Fei Kong

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