Modular framed vertex operator algebras

Modular framed vertex operator algebras European Journal of Mathematics https://doi.org/10.1007/s40879-018-0257-6 RESEARCH ARTICLE 1,2 3,4 Chongying Dong · Ching Hung Lam · Li Ren Received: 12 September 2017 / Revised: 7 April 2018 / Accepted: 18 May 2018 © Springer International Publishing AG, part of Springer Nature 2018 Abstract Framed vertex operator algebras over any algebraically closed field whose characteristic is different from 2 and 7 are studied. In particular, the rationality of framed vertex operator algebras is established. For a code vertex operator algebra, the irreducible modules are constructed and classified. Moreover, a Z[ /2]-form for any framed vertex operator algebra over C is constructed. As a result, one can obtain a modular framed vertex operator algebra from any framed vertex operator algebra over C. Keywords Vertex operator algebras · Modular representation · Integral forms Mathematics Subject Classification 17B69 CD was supported by the NSF Grant DMS-1404741. CHL was partially supported by the MoST Grant 104-2115-M-001-004-MY3 of Taiwan. LR was supported by the China NSF Grant 11301356. Li Ren renl@scu.edu.cn Chongying Dong dong@ucsc.edu Ching Hung Lam chlam@math.sinica.edu.tw School of Mathematics, Sichuan University, Chengdu 610064, China Department of Mathematics, University of California Santa Cruz, 1156 High Street, Santa Cruz, CA 95064, USA Institute of Mathematics, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png European Journal of Mathematics Springer Journals

Modular framed vertex operator algebras

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Algebraic Geometry
ISSN
2199-675X
eISSN
2199-6768
D.O.I.
10.1007/s40879-018-0257-6
Publisher site
See Article on Publisher Site

Abstract

European Journal of Mathematics https://doi.org/10.1007/s40879-018-0257-6 RESEARCH ARTICLE 1,2 3,4 Chongying Dong · Ching Hung Lam · Li Ren Received: 12 September 2017 / Revised: 7 April 2018 / Accepted: 18 May 2018 © Springer International Publishing AG, part of Springer Nature 2018 Abstract Framed vertex operator algebras over any algebraically closed field whose characteristic is different from 2 and 7 are studied. In particular, the rationality of framed vertex operator algebras is established. For a code vertex operator algebra, the irreducible modules are constructed and classified. Moreover, a Z[ /2]-form for any framed vertex operator algebra over C is constructed. As a result, one can obtain a modular framed vertex operator algebra from any framed vertex operator algebra over C. Keywords Vertex operator algebras · Modular representation · Integral forms Mathematics Subject Classification 17B69 CD was supported by the NSF Grant DMS-1404741. CHL was partially supported by the MoST Grant 104-2115-M-001-004-MY3 of Taiwan. LR was supported by the China NSF Grant 11301356. Li Ren renl@scu.edu.cn Chongying Dong dong@ucsc.edu Ching Hung Lam chlam@math.sinica.edu.tw School of Mathematics, Sichuan University, Chengdu 610064, China Department of Mathematics, University of California Santa Cruz, 1156 High Street, Santa Cruz, CA 95064, USA Institute of Mathematics,

Journal

European Journal of MathematicsSpringer Journals

Published: May 31, 2018

References

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