Résumé : Many combinatorial Hopf algebras are positively graded in finite dimensions. This has a consequence on Hilbert series of (and in) these. For example, in FQSym, the Hilbert series of the cocommutative part could be computed and it was conjectured with some evidence that the primitive part was a free lie algebra. We give some hints on an ongoing work.
|Dernière modification : Monday 12 March 2012||Contact : Cyril.Banderier at lipn.univ-paris13.fr|