2011/11/29 by Matthieu Deneufchâtel, Gérard H. E. Duchamp, Deneufchâtel, Matthieu +4
Engineering · Mathematics · #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Rings, Modules, and Algebras #graph theory and CDMA systems #math.CO
paper · pdf · doi:10.48550/arxiv.1111.6759
Submitted to FPSAC'12
openalex publication_date 2011/11/29 · arxiv created 2011/11/30 · arxiv updated 2011/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we present Schützenberger's factorization in different combinatorial contexts and show that its validity is not restricted to these cases but can be extended to every Lie algebra endowed with an ordered basis. We also expose some elements of the relations between the Poincaré-Birkhoff-Witt bases of the enveloping algebra and their dual families.