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Temperley-Lieb algebras associated to the root system D

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Abstract.

In this note we define and compute the Temperley-Lieb algebras associated to the Coxeter-Dynkin graphs of type Dn. The computation relates these algebras to those corresponding to the root systems of type A and B. We also show the connection to braid theory and to the Kauffman bracket and describe a related graphical calculus.

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  1. Mathematisches Institut der Georg-August-Universität, Bunsenstr. 3 - 5, D-37073 Göttingen, Germany, Deutschland

    Tammo tom Dieck

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  1. Tammo tom Dieck
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Received: 25.6.1996

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tom Dieck, T. Temperley-Lieb algebras associated to the root system D. Arch. Math. 71, 407–416 (1998). https://doi.org/10.1007/s000130050284

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  • DOI: https://doi.org/10.1007/s000130050284

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