Cuipo Jiang

activity

20112025

L_{sl_{2}} (n, 0)

in the vertex operator algebra

L_{sl_{2}} (1, 0)^{\otimes n}

6 citations · 22 across the 17 of their papers we have counts for

collaborators

17 papers

math.QA2025

On singular vectors of simply-laced universal affine vertex operator algebras

Cuipo Jiang, Jingtian Song

Given a finite-dimensional complex simple Lie algebra $g$ and a complex number $κ$ , let $V^{κ} (g)$ be the associated universal affine vertex algebra. Gorelik an…

math.QA2025

Structure and representations of the coset vertex operator algebra $C (L_{os p (1∣2)} (2, 0), L_{os p (1∣2)} (1, 0)^{\otimes 2})$

Runkang Feng, Cuipo Jiang

In this paper, we determinate the structure of the coset vertex operator algebra $C (L_{os p (1∣2)} (2, 0), L_{os p (1∣2)} (1, 0)^{\otimes 2})$ . We prove that $C( L_{\w…

math.QA2024

Associated varieties of simple affine VOAs $L_{k} (s l_{3})$ and $W$ -algebras $W_{k} (s l_{3}, f)$

Cuipo Jiang, Jingtian Song

In this paper we first prove that the maximal ideal of the universal affine vertex operator algebra $V^{k} (s l_{n})$ for $k = - n + \frac{n - 1}{q}$ is generated by two singular vectors of con…

math.QA2023

Representations of the orbifold of parafermion vertex operator algebra $K (os p (1∣2), k)$

Cuipo Jiang, Qing Wang

This paper is about the orbifold theory of parafermion vertex operator algebras $K (os p (1∣2), k)$ associated to the affine vertex operator superalgebra $L_{os p (1∣2)} (k, 0)$ …

math.QA2023

The classification of vertex operator algebras of OZ-type generated by Ising vectors of $σ$ -type

Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi

We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of $σ$ -type. As a consequence of the classification, we also prove that such VOAs are simple, rati…

math.QA2023

Orbifold theory of the affine vertex operator superalgebra $L_{os p (1∣2)} (k, 0)$

Cuipo Jiang, Qing Wang

This paper is about the orbifold theory of affine vertex operator superalgebras. Among the main results, we classify the irreducible modules and determine the fusion rules for the…

math.QA2023

Fusion rules for the orbifold vertex operator algebras $L_{sl_{2}} (k, 0)^{K}$

Rabia Iqbal, Cuipo Jiang

For the Klein group $K$ and a positive integr $k$ , irreducible modules of the orbifold vertex operator algebra $L_{sl_{2}} (k, 0)^{K}$ have been classified and con…

math.QA2021

The structure of parafermion vertex operator algebras $K (os p (1∣2 n), k)$

Cuipo Jiang, Qing Wang

In this paper, the structure of the parafermion vertex operator algebra associated to an integrable highest weight module for simple affine Lie superalgebra $os p (1∣2 n)$ is studied.…

math.QA2019★ 4 cited

Representations of the orbifold VOAS $L_{sl_{2}^} (k, 0)^{K}$ and the commutant VOAS $C_{L_{so_{m}^} (1, 0)^{\otimes 3}} (L_{so_{m}^} (3, 0))$

Cuipo Jiang, Bing Wang

For the Klein group $K$ , $k \in Z_{⩾ 1}$ and $m \in Z_{⩾ 4}$ , we study the representations of the orbifold vertex operator algebra $L_{\hat{\mathfrak{…

math.RT2019

Whittaker modules for the twisted affine Nappi-Witten Lie algebra $H_{4} [τ]$

Xue Chen, Cuipo Jiang

The Whittaker module $M_{ψ}$ and its quotient Whittaker module $L_{ψ, ξ}$ for the twisted affine Nappi-Witten Lie algebra $H_{4} [τ]$ are studied. For nonsingular type, it i…

math.QA2019★ 5 cited

Fusion rules for $Z_{2}$ -orbifolds of affine and parafermion vertex operator algebras

Cuipo Jiang, Qing Wang

This paper is about the orbifold theory of affine and parafermion vertex operator algebras. It is known that the parafermion vertex operator algebra $K (s l_{2}, k)$ associated to the i…

math.QA2018

Vertex operator algebras generated by Ising vectors of $σ$ -type

Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi

We prove the uniqueness of the simple vertex operator algebra of OZ-type generated by Ising vectors of $σ$ -type. We also prove that the simplicity can be omitted if the Griess alge…

math.RT2017★ 2 cited

Representations of $Z_{2}$ -orbifold of the parafermion vertex operator algebra $K (s l_{2}, k)$

Cuipo Jiang, Qing Wang

In this paper, the irreducible modules for the $Z_{2}$ -orbifold vertex operator subalgebra of the parafermion vertex operator algebra associated to the irreducible highest…

math.QA2017★ 1 cited

Level-Rank Duality for Vertex Operator Algebras of types B and D

Cuipo Jiang, Ching Hung Lam

For the simple Lie algebra $so_{m}$ , we study the commutant vertex operator algebra of $L_{so^_{m}} (n, 0)$ in the $n$ -fold tensor product $ L_{\hat{\frak{so}}_{m}…

math.RT2017★ 3 cited

Coset Vertex Operator Algebras and $\W$-Algebras

Tomoyuki Arakawa, Cuipo Jiang

We give an explicit description for the weight three generator of the coset vertex operator algebra $C_{L_{\widehat{\sl_{n}}}(l,0)\otimes L_{\widehat{\sl_{n}}}(1,0)}(L_{\widehat{\s…

math.QA2013★ 6 cited

The commutant of $L_{sl_{2}} (n, 0)$ in the vertex operator algebra $L_{sl_{2}} (1, 0)^{\otimes n}$

Cuipo, Jiang, Zongzhu Lin

We study the commutant $L_{sl_{2}} (n, 0)^{c}$ of $L_{sl_{2}} (n, 0)$ in the vertex operator algebra $L_{sl_{2}} (1, 0)^{\otimes n}$ , for…

math.QA2011★ 1 cited

Extension of vertex operator algebra $V_{H^_{4}} (ℓ, 0)$

Cuipo Jiang, Song Wang

We classify the irreducible restricted modules for the affine Nappi-Witten Lie algebra $H^_{4}$ with some natural conditions. It turns out the representation theory of $\hat{H…

On singular vectors of simply-laced universal affine vertex operator algebras

Structure and representations of the coset vertex operator algebra C(Losp(1∣2)​​(2,0),Losp(1∣2)​​(1,0)⊗2)

Associated varieties of simple affine VOAs Lk​(sl3​) and W-algebras Wk​(sl3​,f)

Representations of the orbifold of parafermion vertex operator algebra K(osp(1∣2),k)

The classification of vertex operator algebras of OZ-type generated by Ising vectors of σ-type

Orbifold theory of the affine vertex operator superalgebra Losp(1∣2)​​(k,0)

Fusion rules for the orbifold vertex operator algebras Lsl2​​​(k,0)K

The structure of parafermion vertex operator algebras K(osp(1∣2n),k)

Representations of the orbifold VOAS Lsl2​^​​(k,0)K and the commutant VOAS CLsom​^​​(1,0)⊗3​(Lsom​^​​(3,0))

Whittaker modules for the twisted affine Nappi-Witten Lie algebra H4​[τ]

Fusion rules for Z2​-orbifolds of affine and parafermion vertex operator algebras

Vertex operator algebras generated by Ising vectors of σ-type

Representations of Z2​-orbifold of the parafermion vertex operator algebra K(sl2​,k)

Level-Rank Duality for Vertex Operator Algebras of types B and D

Coset Vertex Operator Algebras and $\W$-Algebras

The commutant of Lsl2​​(n,0) in the vertex operator algebra Lsl2​​(1,0)⊗n

Extension of vertex operator algebra VH^4​​(ℓ,0)

Structure and representations of the coset vertex operator algebra $C (L_{os p (1∣2)} (2, 0), L_{os p (1∣2)} (1, 0)^{\otimes 2})$

Associated varieties of simple affine VOAs $L_{k} (s l_{3})$ and $W$ -algebras $W_{k} (s l_{3}, f)$

Representations of the orbifold of parafermion vertex operator algebra $K (os p (1∣2), k)$

The classification of vertex operator algebras of OZ-type generated by Ising vectors of $σ$ -type

Orbifold theory of the affine vertex operator superalgebra $L_{os p (1∣2)} (k, 0)$

Fusion rules for the orbifold vertex operator algebras $L_{sl_{2}} (k, 0)^{K}$

The structure of parafermion vertex operator algebras $K (os p (1∣2 n), k)$

Representations of the orbifold VOAS $L_{sl_{2}^} (k, 0)^{K}$ and the commutant VOAS $C_{L_{so_{m}^} (1, 0)^{\otimes 3}} (L_{so_{m}^} (3, 0))$

Whittaker modules for the twisted affine Nappi-Witten Lie algebra $H_{4} [τ]$

Fusion rules for $Z_{2}$ -orbifolds of affine and parafermion vertex operator algebras

Vertex operator algebras generated by Ising vectors of $σ$ -type

Representations of $Z_{2}$ -orbifold of the parafermion vertex operator algebra $K (s l_{2}, k)$

The commutant of $L_{sl_{2}} (n, 0)$ in the vertex operator algebra $L_{sl_{2}} (1, 0)^{\otimes n}$

Extension of vertex operator algebra $V_{H^_{4}} (ℓ, 0)$