Ocneanu's trace and Starkey's rule

Meinolf Josef Geck, N. Jacon

Research output: Contribution to journalArticle

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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.

Original languageEnglish
Pages (from-to)899-904
Number of pages5
JournalJournal of Knot Theory and its Ramifications
Volume12
Issue number7
DOIs
Publication statusPublished - 2003

Keywords

  • CYCLOTOMIC HECKE ALGEBRAS
  • MARKOV TRACES
  • GENERIC DEGREES
  • REPRESENTATIONS
  • CHARACTERS
  • WEIGHTS

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