Complexes of Injective Words and Their Commutation Classes

Details Complexes of Injective Words and Their Commutation Classes Complexes of Injective Words and Their Commutation Classes

2007-12-13

arxiv.org/abs/0712.2143v1

Mathematics

Combinatorics

Scientific paper

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

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