INERTIA GROUPS AND UNIQUENESS OF HOLOMORPHIC VERTEX OPERATOR ALGEBRAS

Ching Hung Lam, Hiroki Shimakura

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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 C4,10, D7,3A3,1G2,1, A5,6C2,3A1,2, A3,1C7,2, D5,4C3,2AA1,12, or E6,4C2,1A2,1. As a consequence, we have verified that the isomorphism class of a strongly regular holomorphic vertex operator algebra of central charge 24 is determined by its weight one Lie algebra structure if the weight one subspace is nonzero.

Original languageEnglish
Pages (from-to)1223-1268
Number of pages46
JournalTransformation Groups
Volume25
Issue number4
DOIs
Publication statusPublished - 2020 Dec 1

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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