Zobrazeno 1 - 10
of 273
pro vyhledávání: '"LAM, CHING HUNG"'
We complete the program for determining the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. We show that the full automorphism group of the parafermion vertex oper
Externí odkaz:
http://arxiv.org/abs/2404.17096
Autor:
Chen, Hsian-Yang, Lam, Ching Hung
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 fixed point free on $L$ for any $1\leq i\leq |g|-1$. We show that when
Externí odkaz:
http://arxiv.org/abs/2402.13621
We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of $\sigma$-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, $C_2$-cofinite and unitary, that is, they have compact real
Externí odkaz:
http://arxiv.org/abs/2312.09713
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 to Whittaker modules. In this paper we present further generalization
Externí odkaz:
http://arxiv.org/abs/2212.14137
Autor:
Lam, Ching Hung
We prove that all holomorphic vertex operator algebras of central charge $24$ with non-trivial weight one subspaces are unitary. The main method is to use the orbifold construction of a holomorphic VOA $V$ of central charge $24$ directly from a Nieme
Externí odkaz:
http://arxiv.org/abs/2211.15952
Autor:
Chen, Hsian-Yang, Lam, Ching Hung
Publikováno v:
In Journal of Algebra 15 January 2025 662:625-639
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
Autor:
Lam, Ching Hung, Miyamoto, Masahiko
We give a lattice theoretical interpretation of generalized deep holes of the Leech lattice VOA $V_\Lambda$. We show that a generalized deep hole defines a "true" automorphism invariant deep hole of the Leech lattice. We also show that there is a cor
Externí odkaz:
http://arxiv.org/abs/2205.04681
Publikováno v:
In Journal of Pure and Applied Algebra December 2024 228(12)
We describe the automorphism groups of all holomorphic vertex operator algebras of central charge $24$ with non-trivial weight one Lie algebras by using their constructions as simple current extensions. We also confirm a conjecture of G. H\"ohn on th
Externí odkaz:
http://arxiv.org/abs/2203.15992