Radford bases and Schützenberger's Factorizations
arXiv:1111.6759
Abstract
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.
Submitted to FPSAC'12