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arXiv · 2305.16299

Affine Standard Lyndon words: A-type

Yehor Avdieiev·Alexander Tsymbaliuk
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Abstract

We generalize an algorithm of Leclerc describing explicitly the bijection of Lalonde-Ram from finite to affine Lie algebras. In type $A_n^{(1)}$, we compute all affine standard Lyndon words for any order of the simple roots, and establish some properties of the induced orders on the positive affine roots.

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Yehor Avdieiev, Alexander Tsymbaliuk. 2023-05-25. Affine Standard Lyndon words: A-type. https://doi.org/10.1093/imrn%2Frnae197

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