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arXiv · 0903.2372

Computing SL(2,C) Central Functions with Spin Networks

Sean Lawton·Elisha Peterson
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Abstract

Let G=SL(2,C) and F_r be a rank r free group. Given an admissible weight in N^{3r-3}, there exists a class function defined on Hom(F_r,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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BibTeXRIS

Sean Lawton, Elisha Peterson. 2009-03-13. Computing SL(2,C) Central Functions with Spin Networks. https://doi.org/10.1007/s10711-010-9557-9

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