Open Access
October, 2020 Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the $-1$-isometries
Hiroki SHIMAKURA
J. Math. Soc. Japan 72(4): 1119-1143 (October, 2020). DOI: 10.2969/jmsj/81788178

Abstract

In this article, we determine the automorphism groups of 14 holomorphic vertex operator algebras of central charge 24 obtained by applying the $\mathbb{Z}_2$-orbifold construction to the Niemeier lattice vertex operator algebras and lifts of the $-1$-isometries.

Funding Statement

This work was partially supported by JSPS KAKENHI Grant Number JP17K05154.

Citation

Download Citation

Hiroki SHIMAKURA. "Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the $-1$-isometries." J. Math. Soc. Japan 72 (4) 1119 - 1143, October, 2020. https://doi.org/10.2969/jmsj/81788178

Information

Received: 5 December 2018; Revised: 30 April 2019; Published: October, 2020
First available in Project Euclid: 11 March 2020

MathSciNet: MR4165925
Digital Object Identifier: 10.2969/jmsj/81788178

Subjects:
Primary: 17B69
Secondary: 20B25

Keywords: automorphism group , holomorphic vertex operator algebra , Niemeier lattice

Rights: Copyright © 2020 Mathematical Society of Japan

Vol.72 • No. 4 • October, 2020
Back to Top