Computing SL(2,C) Central Functions with Spin Networks
Quantum Algebra
2011-10-26 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.0903.2372,
title = {Computing SL(2,C) Central Functions with Spin Networks},
author = {Sean Lawton and Elisha Peterson},
journal= {arXiv preprint arXiv:0903.2372},
year = {2011}
}
Comments
to appear in Geometriae Dedicata