2014
DOI: 10.1007/978-3-642-54789-8_13
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Abstract: Abstract Tensor Systems as Monoidal Categories Aleks KissingerDedicated to Joachim Lambek on the occasion of his 90th birthday August 19, 2013Abstract The primary contribution of this paper is to give a formal, categorical treatment to Penrose's abstract tensor notation, in the context of traced symmetric monoidal categories. To do so, we introduce a typed, sum-free version of an abstract tensor system and demonstrate the construction of its associated category. We then show that the associated category of th…

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