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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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Quantum dimensions and fusion rules for parafermion vertex operator algebras
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by Chongying Dong and Qing Wang PDF
Proc. Amer. Math. Soc. 144 (2016), 1483-1492 Request permission

Abstract:

The quantum dimensions and the fusion rules for the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra $A_1^{(1)}$ of level $k$ are determined.
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Additional Information
  • Chongying Dong
  • Affiliation: Department of Mathematics, University of California, Santa Cruz, California 95064
  • MR Author ID: 316207
  • Qing Wang
  • Affiliation: School of Mathematical Sciences, Xiamen University, Xiamen 361005, People’s Republic of China
  • MR Author ID: 820974
  • Received by editor(s): November 26, 2014
  • Received by editor(s) in revised form: April 25, 2015, and May 8, 2015
  • Published electronically: September 9, 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 supported by China NSF grant (No. 11371024), Natural Science Foundation of Fujian Province (No. 2013J01018) and Fundamental Research Funds for the Central University (No. 2013121001)
  • Communicated by: Kailash Misra
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 1483-1492
  • MSC (2010): Primary 17B69
  • DOI: https://doi.org/10.1090/proc/12838
  • MathSciNet review: 3451226