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arxiv: 1007.2579 · v1 · submitted 2010-07-15 · 🧮 math.QA · math.RT

Recoupling theory for quantum spinors

classification 🧮 math.QA math.RT
keywords recouplingtheoryevaluationspinbirman-wenzlcategorychromaticcoefficients
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This paper extends the Birman-Wenzl category by including a spin representation and then developing the recoupling theory, following Cvitanovic. In particular this gives a q-analogue of the chromatic evaluation of a spin network. The recoupling theory is developed up to an evaluation of the q-analogues of the Fierz coefficients.

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