The Yokonuma-Temperley-Lieb algebra

• Autorzy: D. Goundaroulis , J. Juyumaya , A. Kontogeorgis , S. Lambropoulou
• Języki publikacji: EN

Abstrakty

EN

We define the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra over a two-sided ideal generated by an expression analogous to the one of the classical Temperley-Lieb algebra. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra to pass through to the quotient algebra, leading to a sequence of knot invariants which coincide with the Jones polynomial.

Kategorie tematyczne

• 20C08: Hecke algebras and their representations
• 57M25: Knots and links in S 3
• 20F36: Braid groups; Artin groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 103
• Numer: 1
• Strony: 77-99

Daty

wydano

2014

Twórcy

autor

D. Goundaroulis

• Department of Mathematics, National Technical University of Athens, Zografou campus, 15780 Athens, Greece

autor

J. Juyumaya

• Instituto de Matemáticas, Universidad de Valparaíso, Gran Bretaña 1091, Valparaíso, Chile

autor

A. Kontogeorgis

• Department of Mathematics, University of Athens, Panepistimioupolis, 15784 Athens, Greece

autor

S. Lambropoulou

• Department of Mathematics, National Technical University of Athens, Zografou campus, 15780 Athens, Greece

Identyfikatory

DOI

10.4064/bc103-0-3