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OCNEANU'S TRACE AND STARKEY'S RULE

Institut Girard Desargues, Bat. Jean Braconnier, Université Lyon 1, 21 Av Claude Bernard, F-69622 Villeurbanne Cedex, France

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NICOLAS JACON

Institut Girard Desargues, Bat. Jean Braconnier, Université Lyon 1, 21 Av Claude Bernard, F-69622 Villeurbanne Cedex, France

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https://doi.org/10.1142/S0218216503002834Cited by:1 (Source: Crossref)

Abstract

We give a new simple proof for the weights of Ocneanu's trace on Iwahori–Hecke algebras of type A. This trace is used in the construction of the HOMFLYPT-polynomial of knots and links (which includes the famous Jones polynomial as a special case). Our main tool is Starkey's rule concerning the character tables of Iwahori–Hecke algebras of type A.

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