English

A Partition Temperley-Lieb Algebra

Quantum Algebra 2013-04-19 v1

Abstract

We introduce a generalization of the Temperley--Lieb algebra. This generalization is defined by adding certain relations to the algebra of braids and ties. A specialization of this last algebra corresponds to one small Ramified Partition algebra, this fact is the motivation for the name of our generalization.

Keywords

Cite

@article{arxiv.1304.5158,
  title  = {A Partition Temperley-Lieb Algebra},
  author = {Jesús Juyumaya},
  journal= {arXiv preprint arXiv:1304.5158},
  year   = {2013}
}
R2 v1 2026-06-22T00:02:25.941Z