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2024 Automorphism Groups of Certain Orbifold Vertex Operator Algebras Arising from Coinvariant Lattices Associated with the Leech Lattice
Takara Kondo
Author Affiliations +
Taiwanese J. Math. Advance Publication 1-30 (2024). DOI: 10.11650/tjm/241103

Abstract

We determine the automorphism groups of the orbifold vertex operator algebras associated with the coinvariant lattices of isometries of the Leech lattice in the conjugacy classes $3C$, $5C$, $11A$, and $23A$. These orbifold vertex operator algebras appear in a classification given by Lam and Shimakura.

Acknowledgments

The author is very grateful to his supervisor Professor Koichi Betsumiya. The author thanks Professor Ching Hung Lam for encouragement to consider the problem in this paper and for helpful advice. The author also thanks Professor Hiroki Shimakura for useful comments about this problem and for helpful advice. The author would like to thank the referee for useful suggestions and comments.

Citation

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Takara Kondo. "Automorphism Groups of Certain Orbifold Vertex Operator Algebras Arising from Coinvariant Lattices Associated with the Leech Lattice." Taiwanese J. Math. Advance Publication 1 - 30, 2024. https://doi.org/10.11650/tjm/241103

Information

Published: 2024
First available in Project Euclid: 24 November 2024

Digital Object Identifier: 10.11650/tjm/241103

Subjects:
Primary: 17B69

Keywords: automorphism groups , orbifold vertex operator algebras

Rights: Copyright © 2024 The Mathematical Society of the Republic of China

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