# INERTIA GROUPS AND UNIQUENESS OF HOLOMORPHIC VERTEX OPERATOR ALGEBRAS

@article{Lam2020INERTIAGA,
title={INERTIA GROUPS AND UNIQUENESS OF HOLOMORPHIC VERTEX OPERATOR ALGEBRAS},
author={Ching Hung Lam and Hiroki Shimakura},
journal={Transformation Groups},
year={2020},
volume={25},
pages={1223-1268}
}
• Published 7 April 2018
• Mathematics
• Transformation Groups
We continue our program on classiffication of holomorphic vertex operator algebras of central charge 24. In this article, we show that there exists a unique strongly regular holomorphic VOA of central charge 24, up to isomorphism, if its weight one Lie algebra has the type C 4,10 , D 7,3 A 3,1 G 2,1 , A 5,6 C 2,3 A 1,2 , A 3,1 C 7,2 , D 5,4 C 3,2 A A 1 , 1 2 $${A}_{1,1}^2$$ , or E 6,4 C 2,1 A 2,1 . As a consequence, we have verified that the isomorphism class of a strongly regular holomorphic…
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