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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$\mathbb {Z}_2$-orbifold construction associated with $(-1)$-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24
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by Kazuya Kawasetsu, Ching Hung Lam and Xingjun Lin PDF
Proc. Amer. Math. Soc. 146 (2018), 1937-1950 Request permission

Abstract:

The vertex operator algebra structure of a strongly regular holomorphic vertex operator algebra $V$ of central charge $24$ is proved to be uniquely determined by the Lie algebra structure of its weight one space $V_1$ if $V_1$ is a Lie algebra of the type $A_{1,4}^{12}$, $B_{2,2}^6$, $B_{3,2}^4$, $B_{4,2}^3$, $B_{6,2}^2$, $B_{12,2}$, $D_{4,2}^2B_{2,1}^4$, $D_{8,2}B_{4,1}^2$, $A_{3,2}^4A_{1,1}^4$, $D_{5,2}^2A_{3,1}^2$, $D_{9,2}A_{7,1}$, $C_{4,1}^4$, or $D_{6,2}B_{3,1}^2C_{4,1}$.
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Additional Information
  • Kazuya Kawasetsu
  • Affiliation: Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan
  • Address at time of publication: School of Mathematics and Statistics, Faculty of Science, The University of Melbourne, Victoria 3052, Australia
  • MR Author ID: 1049830
  • Email: kazuya.kawasetsu@unimelb.edu.au
  • Ching Hung Lam
  • Affiliation: Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan
  • MR Author ID: 363106
  • Email: chlam@math.sinica.edu.tw
  • Xingjun Lin
  • Affiliation: Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
  • Address at time of publication: Collaborative Innovation Centre of Mathematics, School of Mathematics and Statistics, Wuhan University, Luojiashan, Wuhan, Hubei 430072, People’s Republic of China
  • MR Author ID: 975866
  • Email: linxingjun88@126.com
  • Received by editor(s): January 3, 2017
  • Received by editor(s) in revised form: July 7, 2017
  • Published electronically: December 11, 2017
  • Additional Notes: The second author was partially supported by MoST grant 104-2115-M-001-004-MY3 of Taiwan
    The third author is an “Overseas researchers under Postdoctoral Fellowship of Japan X1Society for the Promotion of Science” and is supported by JSPS Grant No. 16F16020.
  • Communicated by: Kailash C. Misra
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 1937-1950
  • MSC (2010): Primary 17B69
  • DOI: https://doi.org/10.1090/proc/13881
  • MathSciNet review: 3767347