Markov traces on cyclotomic Temperley-Lieb algebras

Author:
Hebing Rui

Journal:
Proc. Amer. Math. Soc. **134** (2006), 2873-2880

MSC (2000):
Primary 16S99, 16K20

Published electronically:
May 5, 2006

MathSciNet review:
2231610

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: 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:
hbrui@math.ecnu.edu.cn

DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08327-4

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

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.