caa a22 4500 445884096 CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10711-010-9557-9 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9557-9 Computing $${{\rm SL}(2,\mathbb{C})}$$ central functions with spin networks [Elektronische Daten] [Sean Lawton, Elisha Peterson] Let $${G={\rm SL}(2,\mathbb{C})}$$ and $${{\tt F}_r}$$ be a rank r free group. Given an admissible weight $${\vec{\lambda}}$$ in $${\mathbb{N}^{3r-3}}$$ , there exists a class function defined on $${{\rm Hom}({\tt F}_r,G)}$$ 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. Springer Science+Business Media B.V., 2010 Spin network nationallicence Trace diagram nationallicence Character variety nationallicence Central function nationallicence Lawton Sean University of Texas, Pan American, 1201 West University Drive, 78539, Edinburg, TX, USA aut Peterson Elisha Johns Hopkins University Applied Physics Lab, 20723, Laurel, MD, USA aut Geometriae Dedicata Springer Netherlands 153/1(2011-08-01), 73-105 0046-5755 153:1<73 2011 153 10711 https://doi.org/10.1007/s10711-010-9557-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9557-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lawton Sean University of Texas, Pan American, 1201 West University Drive, 78539, Edinburg, TX, USA aut NATIONALLICENCE 700 1- Peterson Elisha Johns Hopkins University Applied Physics Lab, 20723, Laurel, MD, USA aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 153/1(2011-08-01), 73-105 0046-5755 153:1<73 2011 153 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer