Year: 2024
Type: article
Abstract: We generalize an algorithm of Leclerc [ 6] describing explicitly the bijection of Lalonde–Ram [ 5] 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.
DOI: 10.1093/imrn/rnae197
Authors: Yehor Avdieiev, Alexander Tsymbaliuk
Institutions: University of Bonn, Purdue University West Lafayette
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Foundation
OpenAlex ID: W4403007679