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arxiv: 1512.02370 · v3 · pith:X4IXP32Gnew · submitted 2015-12-08 · 🧮 math.QA · math.CO· math.RT

A new way to evaluate MOY graphs

classification 🧮 math.QA math.COmath.RT
keywords graphsevaluateevaluationmathfrakprovecheckingclassicalcoincides
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We define a new way to evaluate MOY graphs. We prove that this new evaluation coincides with the classical evaluation by checking some skein relations. As a consequence, we prove a formula which relates the $\mathfrak{sl}_N$ and $\mathfrak{sl}_{N-1}$-evaluations of MOY graphs.

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