@article{6e801b812dd940c18d7d5bb51e0e6a2a,
title = "Classification of the vertex operator algebras VL+ of class S4",
abstract = "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.",
keywords = "Binary codes, Lattices, Vertex operator algebras",
author = "Tomonori Hashikawa and Hiroki Shimakura",
note = "Funding Information: The authors wish to thank Prof. Ching Hung Lam for his useful comments and various advices on the subject. They also wish to thank Dr. Motohiro Ishii for several helpful comments. The second author was partially supported by JSPS KAKENHI Grant Numbers 23540013 and 26800001 , and by Grant for Basic Science Research Projects from The Sumitomo Foundation , Grant Number 130032 . Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",
year = "2016",
month = jun,
day = "15",
doi = "10.1016/j.jalgebra.2016.01.035",
language = "English",
volume = "456",
pages = "151--181",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}