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A categorical and diagrammatical approach to Temperley-Lieb algebras

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arxiv math/0405267 v2 pith:4S7RPWGO submitted 2004-05-14 math.QA math.OA

Shigeru Yamagami This is my paper · ORCID
classification math.QAmath.OA
keywords algebrastemperley-liebalgebraicapproachbasicsbehindcategoricalcategories
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Algebraic basics on Temperley-Lieb algebras are proved in an elementary and straightforward way with the help of tensor categories behind them.

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  1. Realizing the braided Temperley-Lieb-Jones C*-tensor categories as Hilbert C*-modules

    math-ph 2019-08 conditional novelty 6.0 of 10

    The Temperley-Lieb-Jones C*-tensor categories at discrete parameters are realized as braided C*-tensor categories of Hilbert C*-modules with finite orthonormal bases.

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