English

Complexes of Injective Words and Their Commutation Classes

Combinatorics 2007-12-14 v1 K-Theory and Homology

Abstract

Let SS be a finite alphabet. An injective word over SS is a word over SS such that each letter in SS appears at most once in the word. We study Boolean cell complexes of injective words over SS and their commutation classes. This generalizes work by Farmer and by Bj\"orner and Wachs on the complex of all injective words.

Keywords

Cite

@article{arxiv.0712.2143,
  title  = {Complexes of Injective Words and Their Commutation Classes},
  author = {Jakob Jonsson and Volkmar Welker},
  journal= {arXiv preprint arXiv:0712.2143},
  year   = {2007}
}
R2 v1 2026-06-21T09:53:41.537Z