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arXiv · 1710.09999

Temperley-Lieb and Birman-Murakami-Wenzl like relations from multiplicity free semi-simple tensor system

Peter E. Finch
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Abstract

In this article we consider conditions under which projection operators in multiplicity free semi-simple tensor categories satisfy Temperley-Lieb like relations. This is then used as a stepping stone to prove sufficient conditions for obtaining a representation of the Birman-Murakami-Wenzl algebra from a braided multiplicity free semi-simple tensor category. The results are found by utalising the data of the categories. There is considerable overlap with the results found in arXiv:1607.08908, where proofs are shown by manipulating diagrams.

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BibTeXRIS

Peter E. Finch. 2017-10-27. Temperley-Lieb and Birman-Murakami-Wenzl like relations from multiplicity free semi-simple tensor system. https://arxiv.org/abs/1710.09999

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