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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Markov traces on cyclotomic Temperley–Lieb algebras
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by Hebing Rui PDF
Proc. Amer. Math. Soc. 134 (2006), 2873-2880 Request permission


In this note, we use generalized Tchebychev polynomials to define a trace function which satisfies certain conditions. Such a trace will be called the Markov trace. In particular, we obtain formulae for the weights of the Markov trace. As a corollary, we get a combinatorial identity. This generalizes Jones’s 1983 result on Temperley–Lieb algebras.
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Additional Information
  • Hebing Rui
  • Affiliation: Department of Mathematics, East China Normal University, Shanghai, 200062, People’s Republic of China
  • Email:
  • Received by editor(s): November 17, 2004
  • Received by editor(s) in revised form: March 12, 2005, and May 7, 2005
  • Published electronically: May 5, 2006
  • Additional Notes: The author was partially supported by NSFC no. 10331030 and JSPS. He wishes to thank the Research Institute for Mathematical Sciences, Kyoto University, for its hospitality during his visit
  • Communicated by: John R. Stembridge
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2873-2880
  • MSC (2000): Primary 16S99, 16K20
  • DOI:
  • MathSciNet review: 2231610