Classification of the vertex operator algebras VL+ of class S4

Tomonori Hashikawa, Hiroki Shimakura

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we prove that an even rootless lattice L is isomorphic to 2A1, √2D4, √2E8, or BW16 if the lattice type vertex operator algebra VL+ is of class S4. In addition, we prove that the vertex operator algebra V√2D4+ is of class S5, and the vertex operator algebras V2A1+, V√2E8+, and VBW16+ are of class S7.

Original languageEnglish
Pages (from-to)151-181
Number of pages31
JournalJournal of Algebra
Publication statusPublished - 2016 Jun 15


  • Binary codes
  • Lattices
  • Vertex operator algebras

ASJC Scopus subject areas

  • Algebra and Number Theory


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