Nina Yu

activity

20132026

most citedFiltrations and Homological degrees of FI-modules

11 citations · 35 across the 21 of their papers we have counts for

collaborators

21 papers

math.QA2026

Permutation orbifolds and simple current extensions

Ching Hung Lam, Nina Yu

In this article, we study permutation orbifolds and simple current extensions in the framework of vertex operator (super)algebras. We extend the construction of permutation-twisted…

math.QA2024

Fusion Products of Twisted Modules in Permutation Orbifolds: II

Chongying Dong, Feng Xu, Nina Yu

Let $V$ be a simple, rational, $C_{2}$ -cofinite vertex operator algebra of CFT type, and let $k$ be a positive integer. In this paper, we determine the fusion products of twisted m…

math.QA2023

Permutation orbifolds of vertex operator superalgebra and associative algebras

Chongying Dong, Feng Xu, Nina Yu

Let $V$ be a vertex operator superalgebra and $g = (12 \dots k)$ be a $k$ -cycle which is viewed as an automorphism of the tensor product vertex operator superalgebra $…

math.CT2023

Representations over diagrams of abelian categories II: Abelian model structures

Zhenxing Di, Liping Li, Li Liang +1

This is the second paper in a series on representations over diagrams of abelian categories. We show that, under certain conditions, a compatible family of abelian model categories…

math.QA2022

On irreducibility of modules of Whittaker type: twisted modules and nonabelian orbifolds

Drazen Adamovic, Ching Hung Lam, Veronika Pedic Tomic +1

In arXiv:1811.04649, we extended the Dong-Mason theorem on irreducibility of modules for cyclic orbifold vertex algebras to the entire category weak modules and applied this result…

math.RT2022

Representations over diagrams of abelian categories I: Global structure and homological objects

Zhenxing Di, Liping Li, Li Liang +1

Representations over diagrams of abelian categories unify quite a few notions appearing widely in literature such as representations of categories, presheaves of modules over categ…

math.QA2022

Irreducible modules of toroidal Lie algebras arising from $ϕ_{ε}$ -coordinated modules of vertex algebras

Fulin Chen, Huansheng Li, Nina Yu

In this paper, for every $ε \in Z$ , we introduce an extension of the 2-toroidal Lie algebra by certain derivations. Based on the $ϕ_{ε}$ -coordinated modules theory for vertex…

math.QA2021

$S$ -matrix in permutation orbifolds

Chongying Dong, Feng Xu, Nina Yu

For a fixed positive integer $k$ , any element $g$ of the permutation group $S_{k}$ acts on the tensor product vertex operator algebra $V^{\otimes k}$ in the obvious way. In this pa…

math.QA2021

On a family of vertex operator superalgebras

Haisheng Li, Nina Yu

This paper is to study vertex operator superalgebras which are strongly generated by their weight- $2$ and weight- $\frac{3}{2}$ homogeneous subspaces. Among the main results, it is…

math.QA2021

Extended affine Lie algebras, vertex algebras and equivariant $ϕ$ -coordinated quasi modules

Fulin Chen, Shaobin Tan, Nina Yu

For any nullity $2$ extended affine Lie algebra $E$ of maximal type and $ℓ \in C$ , we prove that there exist a vertex algebra $V_{E} (ℓ)$ and an aut…

math.QA2020

Permutation orbifolds and associative algebras

Chongying Dong, Feng Xu, Nina Yu

Let $V$ be a vertex operator algebra and $g = (12 \dots k)$ be a $k$ -cycle which is viewed as an automorphism of the vertex operator algebra $V^{\otimes k}$ . It is pro…

math.QA2019★ 1 cited

Fusion products of twisted modules in permutation orbifolds

Chongying Dong, Haisheng Li, Feng Xu +1

Let $V$ be a vertex operator algebra, $k$ a positive integer and $σ$ a permutation automorphism of the vertex operator algebra $V^{\otimes k}$ . In this paper, we determine the fusi…

math.QA2019

$6 A$ -Algebra and its representations

Chongying Dong, Xiangyu Jiao, Nina Yu

In this paper, we study the structure and representation of a $6 A$ -algebra which is a vertex operator algebra generated by two Ising vectors $e, f$ with inner product $\left\langle…

math.QA2018★ 4 cited

On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebra

Drazen Adamovic, Ching Hung Lam, Veronika Pedic Tomic +1

We extend the Dong-Mason theorem on the irreducibility of modules for orbifold vertex algebras from [C. Dong, G. Mason, Duke Math. J. 86 (1997)] 305-321] for the category of weak m…

math.RT2018★ 10 cited

Simple Whittaker modules over free bosonic orbifold vertex operator algebras

Jonas T. Hartwig, Nina Yu

We construct weak (i.e. non-graded) modules over the vertex operator algebra $M (1)^{+}$ , which is the fixed-point subalgebra of the higher rank free bosonic (Heisenberg) vertex opera…

math.RT2017★ 5 cited

FI $^{m}$ -modules over Noetherian rings

Liping Li, Nina Yu

In this paper we study representation theory of the category FI $^{m}$ introduced by Gadish which is a product of copies of the category FI, and show that quite a few interesting repr…

math.QA2016★ 1 cited

The 3-permutation orbifold of a lattice vertex operator algebra

Chonging Dong, Feng Xu, Nina Yu

Irreducible modules of the 3-permutation orbifold of a rank one lattice vertex operator algebra are listed explicitly. Fusion rules are determined by using the quantum dimensions.…

math.QA2016★ 2 cited

2-permutations of lattice vertex operator algebras: Higher rank

Chongying Dong, Feng Xu, Nina Yu

The fusion rules of the 2-permutation orbifold of an arbitrary lattice vertex operator algebra are determined by using the theory of quantum dimension.

math.RT2015★ 11 cited

Filtrations and Homological degrees of FI-modules

Liping Li, Nina Yu

Let $k$ be a commutative Noetherian ring. In this paper we consider filtered modules of the category FI firstly introduced by Nagpal. We show that a finitely generated FI-module $V…

math.QA2014★ 1 cited

Cyclic permutations of lattice vertex operator algebras

Chongying Dong, Feng Xu, Nina Yu

The irreducible modules of the 2-cycle permutation orbifold models of lattice vertex operator algebras of rank 1 are classified, the quantum dimensions of irreducible modules and t…

math.QA2013

Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$

Chongying Dong, Cuipo Jiang, Qifen Jiang +2

The fusion rules for vertex operator algebra $V_{L_{2}}^{A_{4}}$ are determined.

Permutation orbifolds and simple current extensions

Fusion Products of Twisted Modules in Permutation Orbifolds: II

Permutation orbifolds of vertex operator superalgebra and associative algebras

Representations over diagrams of abelian categories II: Abelian model structures

On irreducibility of modules of Whittaker type: twisted modules and nonabelian orbifolds

Representations over diagrams of abelian categories I: Global structure and homological objects

Irreducible modules of toroidal Lie algebras arising from ϕε​-coordinated modules of vertex algebras

S-matrix in permutation orbifolds

On a family of vertex operator superalgebras

Extended affine Lie algebras, vertex algebras and equivariant ϕ-coordinated quasi modules

Permutation orbifolds and associative algebras

Fusion products of twisted modules in permutation orbifolds

6A-Algebra and its representations

On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebra

Simple Whittaker modules over free bosonic orbifold vertex operator algebras

FIm-modules over Noetherian rings

The 3-permutation orbifold of a lattice vertex operator algebra

2-permutations of lattice vertex operator algebras: Higher rank

Filtrations and Homological degrees of FI-modules

Cyclic permutations of lattice vertex operator algebras

Fusion rules for the vertex operator algebra VL2​A4​​

Irreducible modules of toroidal Lie algebras arising from $ϕ_{ε}$ -coordinated modules of vertex algebras

$S$ -matrix in permutation orbifolds

Extended affine Lie algebras, vertex algebras and equivariant $ϕ$ -coordinated quasi modules

$6 A$ -Algebra and its representations

FI $^{m}$ -modules over Noetherian rings

Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$