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arXiv · 2505.15432

Affine standard Lyndon words

Corbet Elkins·Alexander Tsymbaliuk
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Abstract

In this note, we establish the convexity and monotonicity for affine standard Lyndon words in all types, generalizing the $A$-type results of arXiv:2305.16299. We also derive partial results on the structure of imaginary standard Lyndon words and present a conjecture for their general form. Additionally, we provide computer code in Appendix which, in particular, allows to efficiently compute affine standard Lyndon words in exceptional types for all orders.

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Corbet Elkins, Alexander Tsymbaliuk. 2025-05-21. Affine standard Lyndon words. https://arxiv.org/abs/2505.15432

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