Ocneanu's trace and Starkey's rule

Meinolf Josef Geck; N. Jacon

doi:10.1142/S0218216503002834

Ocneanu's trace and Starkey's rule

Meinolf Josef Geck, N. Jacon

Mathematical Science

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	899-904
Number of pages	5
Journal	Journal of Knot Theory and its Ramifications
Volume	12
Issue number	7
DOIs	https://doi.org/10.1142/S0218216503002834
Publication status	Published - 2003

Keywords

CYCLOTOMIC HECKE ALGEBRAS
MARKOV TRACES
GENERIC DEGREES
REPRESENTATIONS
CHARACTERS
WEIGHTS

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10.1142/S0218216503002834

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title = "Ocneanu's trace and Starkey's rule",

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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AU - Geck, Meinolf Josef

AU - Jacon, N.

PY - 2003

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AB - 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.

KW - CYCLOTOMIC HECKE ALGEBRAS

KW - MARKOV TRACES

KW - GENERIC DEGREES

KW - REPRESENTATIONS

KW - CHARACTERS

KW - WEIGHTS

U2 - 10.1142/S0218216503002834

DO - 10.1142/S0218216503002834

M3 - Article

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VL - 12

SP - 899

EP - 904

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 7

ER -

Ocneanu's trace and Starkey's rule

Abstract

Keywords

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