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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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2-cyclic permutations of lattice vertex operator algebras
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by Chongying Dong, Feng Xu and Nina Yu PDF
Proc. Amer. Math. Soc. 144 (2016), 3207-3220 Request permission

Abstract:

The irreducible modules of the 2-cyclic permutation orbifold models of lattice vertex operator algebras of rank one are classified, and the quantum dimensions of irreducible modules and the fusion rules are determined.
References
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Additional Information
  • Chongying Dong
  • Affiliation: Department of Mathematics, University of California, Santa Cruz, California 95064
  • MR Author ID: 316207
  • Feng Xu
  • Affiliation: Department of Mathematics, University of California, Riverside, California 92521
  • MR Author ID: 358033
  • Nina Yu
  • Affiliation: Department of Mathematics, University of California, Riverside, California 92521
  • MR Author ID: 830351
  • Received by editor(s): July 10, 2015
  • Received by editor(s) in revised form: September 8, 2015
  • Published electronically: December 21, 2015
  • Additional Notes: The first author was supported by NSF grant DMS-1404741, NSA grant H98230-14-1-0118 and China NSF grant 11371261
    The second author was partially supported by China NSF 11471064
  • Communicated by: Kailash C. Misra
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 3207-3220
  • MSC (2010): Primary 17B69
  • DOI: https://doi.org/10.1090/proc/12966
  • MathSciNet review: 3503690