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

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

2009-03-13

arxiv.org/abs/0903.2372v2

Geometriae Dedicata, Volume 153, Number 1, August 2011, 73-105

Mathematics

Quantum Algebra

to appear in Geometriae Dedicata

Scientific paper

10.1007/s10711-010-9557-9

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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