Fusion rules among irreducible $V_{\sqrt {2}A_2}^\tau$-modules of twisted type
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Abstract:
In this article, we first compute the quantum dimensions of irreducible $V_{\sqrt {2} A_2}^\tau$-modules. These quantum dimensions give upper bounds on fusion rules among irreducible $V_{\sqrt {2} A_2}^\tau$-modules. Together with the lower bounds obtained by Lam and the author, we determine explicitly fusion rules among all irreducible $V_{\sqrt {2} A_2}^\tau$-modules of twisted type. This work completes the program for determining the fusion rules among irreducible $V_{\sqrt {2}A_2}^\tau$-modules.References
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Additional Information
- Hsian-Yang Chen
- Affiliation: Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan
- Email: hychen@math.sinica.edu.tw
- Received by editor(s): September 24, 2013
- Received by editor(s) in revised form: April 10, 2014
- Published electronically: March 18, 2015
- Communicated by: Kailash Misra
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3717-3726
- MSC (2010): Primary 17B69
- DOI: https://doi.org/10.1090/S0002-9939-2015-12521-X
- MathSciNet review: 3359564