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arXiv · 2609.29022

On the language of palindromic reduced words in a Coxeter group

Asilata Bapat
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Abstract

We prove that the language of palindromic reduced words in a Coxeter system is regular if and only if the Coxeter group is a direct product of a finite Coxeter group with finitely many copies of the infinite dihedral group.

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Asilata Bapat. 2026-10-26. On the language of palindromic reduced words in a Coxeter group. https://arxiv.org/abs/2609.29022

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