PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

The Yokonuma–Temperley–Lieb algebra

Volume 103 / 2014

D. Goundaroulis, J. Juyumaya, A. Kontogeorgis, S. Lambropoulou Banach Center Publications 103 (2014), 77-99 MSC: 57M25, 20C08, 20F36. DOI: 10.4064/bc103-0-3

Abstract

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.

Authors

  • D. GoundaroulisDepartment of Mathematics
    National Technical University of Athens
    Zografou campus
    15780 Athens, Greece
    e-mail
  • J. JuyumayaInstituto de Matemáticas
    Universidad de Valparaíso
    Gran Bretaña 1091
    Valparaíso, Chile
    e-mail
  • A. KontogeorgisDepartment of Mathematics
    University of Athens
    Panepistimioupolis
    15784 Athens, Greece
    e-mail
  • S. LambropoulouDepartment of Mathematics
    National Technical University of Athens
    Zografou campus
    15780 Athens, Greece
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image