Computing SL(2, C) central functions with spin networks -- from Wolfram Library Archive

Title

Computing SL(2, C) central functions with spin networks

Authors

Sean Lawton

Organization:

Instituto Superior Tecnico

Department:

Math

Elisha Peterson

Journal / Anthology

Geometriae Dedicata

Year:

2011

Volume:

153

Issue:

Page range:

73-105

Description

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.

Subject

Unclassified

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