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arxiv: 0809.5186 · v2 · submitted 2008-09-30 · 🧮 math.QA

An isomorphism between the fusion algebras of V_L^+ and type D⁽¹⁾ level 2

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keywords algebrafusionleveltypealgebrasalmostcaseseven
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The fusion algebra of the vertex operator algebra $V_L^+$ for a rank 1 even lattice $L$ is explicitly shown to be isomorphic to the fusion algebra of the Kac-Moody algebra of type $D^{(1)}$ at level 2 in almost all cases.

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