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![Wolfram Library Archive](/images/database/subheader.gif)
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![](/common/images/spacer.gif) Computing SL(2, C) central functions with spin networks
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Organization: | Instituto Superior Tecnico |
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![](/common/images/spacer.gif) Let G = SL(2,C) and Fr be a rank r free group. Given an admissible weight λ in N3r−3, there exists a class function defined on Hom(Fr , G) called a central function. We show that these functions admit a combinatorial description in terms of graphs called trace diagrams.We then describe two algorithms (implemented in Mathematica) to compute these functions.
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