A Survey on Temperley-Lieb-type quotients from the Yokonuma-Hecke algebras

@article{Goundaroulis2015ASO,
  title={A Survey on Temperley-Lieb-type quotients from the Yokonuma-Hecke algebras},
  author={Dimos Goundaroulis},
  journal={arXiv: Geometric Topology},
  year={2015}
}
  • Dimos Goundaroulis
  • Published 2015
  • Mathematics
  • arXiv: Geometric Topology
  • In this survey we collect all results regarding the construction of the Framization of the Temperley-Lieb algebra of type $A$ as a quotient algebra of the Yokonuma-Hecke algebra of type $A$. More precisely, we present all three possible quotient algebras the emerged during this construction and we discuss their dimension, linear bases, representation theory and the necessary and sufficient conditions for the unique Markov trace of the Yokonuma-Hecke algebra to factor through to each one of them… CONTINUE READING

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