Generalized Lyndon words. (Mots de Lyndon généralisés.)
-partitions and a multi-parameter Klyachko idempotent.
Commutative/noncommutative rank of linear matrices and subspaces of matrices of low rank.
Sur les éléments inversibles de l'algèbre de Hadamard des séries rationnelles
Sur les semi-groupes vérifiant le théorème de Kleene
Ensembles libres de chemins dans un graphe
Mutating seeds: types and .
In the cases and , we describe the seeds obtained by sequences of mutations from an initial seed. In the case, we deduce a linear representation of the group of mutations which contains as matrix entries all cluster variables obtained after an arbitrary sequence of mutations (this sequence is an element of the group). Nontransjective variables correspond to certain subgroups of finite index. A noncommutative rational series is constructed, which contains all this information.
On Christoffel classes
We characterize conjugation classes of Christoffel words (equivalently of standard words) by the number of factors. We give several geometric proofs of classical results on these words and sturmian words.
On Christoffel classes
We characterize conjugation classes of Christoffel words (equivalently of standard words) by the number of factors. We give several geometric proofs of classical results on these words and sturmian words.
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