Free polynomial generators for the Hopf algebra QSym of quasisymmetric functions
- Ditters, E.J.
- Scholtens, A.C.J.
Publication date
December 1999
DOI Publisher
Elsevier Science B.V. ISSN
0022-4049Abstract
AbstractIn the proof of [11, Corollary 2], of Malvenuto and Reutenauer showed that the set of Lyndon words L in the language over the alphabet of positive integers is a set of free polynomial generators for the ring QSymQ of quasisymmetric functions over the field Q of rational numbers. A slight modification of the definition of Lyndon words permits to present a set of free polynomial generators for the ring QSym of quasisymmetric functions over the ring of rational integers Z
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