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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

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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

Rights: Copyright © 2020 Mathematical Society of Japan

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Vol.72 • No. 4 • October, 2020
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