# The Yokonuma-Temperley-Lieb algebra

D. Goundaroulis; J. Juyumaya; A. Kontogeorgis; S. Lambropoulou

Banach Center Publications (2014)

- Volume: 103, Issue: 1, page 77-99
- ISSN: 0137-6934

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topD. 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 -

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