The Yokonuma-Temperley-Lieb algebra

D. Goundaroulis, et al. "The Yokonuma-Temperley-Lieb algebra." Banach Center Publications 103.1 (2014): 77-99. <http://eudml.org/doc/282319>.

@article{D2014,
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.},
author = {D. Goundaroulis, J. Juyumaya, A. Kontogeorgis, S. Lambropoulou},
journal = {Banach Center Publications},
keywords = {Jones polynomial; Iwahori-Hecke algebra; Yokonuma-Hecke algebra; Temperley-Lieb algebra; Yokonuma-Temperley-Lieb algebra; Markov trace},
language = {eng},
number = {1},
pages = {77-99},
title = {The Yokonuma-Temperley-Lieb algebra},
url = {http://eudml.org/doc/282319},
volume = {103},
year = {2014},
}

TY - JOUR
AU - D. Goundaroulis
AU - J. Juyumaya
AU - A. Kontogeorgis
AU - S. Lambropoulou
TI - The Yokonuma-Temperley-Lieb algebra
JO - Banach Center Publications
PY - 2014
VL - 103
IS - 1
SP - 77
EP - 99
AB - 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.
LA - eng
KW - Jones polynomial; Iwahori-Hecke algebra; Yokonuma-Hecke algebra; Temperley-Lieb algebra; Yokonuma-Temperley-Lieb algebra; Markov trace
UR - http://eudml.org/doc/282319
ER -