On isomorphism problems for vertex operator algebras associated with even lattices
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Abstract:
In this article, we completely determine the isomorphism classes of lattice vertex operator algebras and the vertex operator subalgebras fixed by a lift of the $-1$-isometry of the lattice. We also provide similar results for certain even lattices associated with doubly-even binary codes.References
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Additional Information
- Hiroki Shimakura
- Affiliation: Department of Mathematics, Aichi University of Education, 1 Hirosawa, Igaya-cho, Kariya-city, Aichi 448-8542, Japan
- MR Author ID: 688879
- Email: shima@auecc.aichi-edu.ac.jp
- Received by editor(s): October 25, 2009
- Received by editor(s) in revised form: May 4, 2010, January 18, 2011, and April 4, 2011
- Published electronically: October 6, 2011
- Additional Notes: The author was partially supported by Grants-in-Aid for Scientific Research (No. 20549004) and Excellent Young Researcher Overseas Visit Program, JSPS
- Communicated by: Gail R. Letzter
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3333-3348
- MSC (2010): Primary 17B69; Secondary 11H06, 11H71
- DOI: https://doi.org/10.1090/S0002-9939-2011-11167-5
- MathSciNet review: 2929004