Fusion rules among irreducible 𝑉_{√2𝐴₂}^{𝜏}-modules of twisted type

Chen, Hsian-Yang

doi:10.1090/S0002-9939-2015-12521-X

Fusion rules among irreducible $V_{\sqrt {2}A_2}^\tau$-modules of twisted type
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Proc. Amer. Math. Soc. 143 (2015), 3717-3726 Request permission

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.

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