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Archiv der Mathematik

, Volume 71, Issue 5, pp 407–416 | Cite as

Temperley-Lieb algebras associated to the root system D

  • Tammo tom Dieck
Article
  • 33 Downloads

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.

Keywords

Root System Graphical Calculus Kauffman Bracket 

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Copyright information

© Birkhäuser Verlag, Basel 1998

Authors and Affiliations

  • Tammo tom Dieck
    • 1
  1. 1.Mathematisches Institut der Georg-August-Universität, Bunsenstr. 3 - 5, D-37073 Göttingen, GermanyDeutschland

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