English

How many elements of a Coxeter group have a unique reduced expression?

Group Theory 2017-01-09 v2 Combinatorics

Abstract

Let (W,R)(W,R) be an arbitrary Coxeter system. We determine the number of elements of WW that have a unique reduced expression.

Keywords

Cite

@article{arxiv.1701.01138,
  title  = {How many elements of a Coxeter group have a unique reduced expression?},
  author = {Sarah Hart},
  journal= {arXiv preprint arXiv:1701.01138},
  year   = {2017}
}

Comments

updated to include a couple of extra references

R2 v1 2026-06-22T17:41:22.036Z