English

A classification of affine fully commutative elements

Group Theory 2013-11-28 v1 Rings and Algebras

Abstract

We classify fully commutative elements in the affine Coxeter group of type An~\tilde{A_{n}}. We give a normal form for such elements, then we propose an application of this normal form: we lift these fully commutative elements to the affine braid group of type An~\tilde{A_{n}} and we get a form for "fully commutative braids".

Keywords

Cite

@article{arxiv.1311.7089,
  title  = {A classification of affine fully commutative elements},
  author = {Sadek Al Harbat},
  journal= {arXiv preprint arXiv:1311.7089},
  year   = {2013}
}
R2 v1 2026-06-22T02:16:16.616Z