Hsian-Yang Chen

activity

20132024

most cited

Z_{3}

-orbifold construction of the Moonshine vertex operator algebra and some maximal

3

-local subgroups of the Monster

7 citations · 12 across the 6 of their papers we have counts for

collaborators

6 papers

math.QA2024

Completely fixed point free isometry and cyclic orbifold of lattice vertex operator algebras

Hsian-Yang Chen, Ching Hung Lam

We continue our study of cyclic orbifolds of lattice vertex operator algebras and their full automorphism groups. We consider some special isometry $g \in O (L)$ such that $g^{i}$ is f…

math.QA2021

Fourvolutions and automorphism groups of orbifold lattice vertex operator algebras

Hsian-Yang Chen, Ching Hung Lam

Let $L$ be an even positive definite lattice with no roots, i.e., $L (2) = {x \in L ∣ (x ∣ x) = 2} = \emptyset$ . Let $g \in O (L)$ be an isometry of order $4$ such that $g^{2} = - 1$ on $L$ . In…

math.QA2016★ 7 cited

$Z_{3}$ -orbifold construction of the Moonshine vertex operator algebra and some maximal $3$ -local subgroups of the Monster

Hsian-Yang Chen, Ching Hung Lam, Hiroki Shimakura

In this article, we describe some maximal $3$ -local subgroups of the Monster simple group using vertex operator algebras (VOA). We first study the holomorphic vertex operator algeb…

math.QA2014★ 2 cited

Quantum dimensions and fusion rules of the VOA $V_{L_{C \times D}}^{τ}$

Hsian-Yang Chen, Ching Hung Lam

In this article, we determine quantum dimensions and fusion rules for the orbifold code VOA $V_{L_{C \times D}}^{τ}$ . As an application, we also construct certain $3$ -local subgroup…

math.QA2013

Weyl groups and vertex operator algebras generated by Ising vectors satisfying $(2 B, 3 C)$ condition

Ching Hung Lam, Hsian-Yang Chen

In this article, we construct explicitly certain moonshine type vertex operator algebras generated by a set of Ising vectors $I$ such that (1) for any $e \neq = f \in I$ , the subVOA $\…

math.QA2013★ 3 cited

On Majorana representations of the group $3^{2} : 2$ of 3C-pure type and the corresponding vertex operator algebras

Ching Hung Lam, Hsian-Yang Chen

In this article, we study Griess algebras and vertex operator subalgebras generated by Ising vectors in a moonshine type VOA such that the subgroup generated by the corresponding M…

Completely fixed point free isometry and cyclic orbifold of lattice vertex operator algebras

Fourvolutions and automorphism groups of orbifold lattice vertex operator algebras

Z3​-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster

Quantum dimensions and fusion rules of the VOA VLC×D​τ​

Weyl groups and vertex operator algebras generated by Ising vectors satisfying (2B,3C) condition

On Majorana representations of the group 32:2 of 3C-pure type and the corresponding vertex operator algebras

$Z_{3}$ -orbifold construction of the Moonshine vertex operator algebra and some maximal $3$ -local subgroups of the Monster

Quantum dimensions and fusion rules of the VOA $V_{L_{C \times D}}^{τ}$

Weyl groups and vertex operator algebras generated by Ising vectors satisfying $(2 B, 3 C)$ condition

On Majorana representations of the group $3^{2} : 2$ of 3C-pure type and the corresponding vertex operator algebras