Résumé : We continue our exploration of the combinatorics of groups.
Function spaces are used in order to dualize the product : typically the algebraic dual of the group algebra k[G] is the full function space kG. In many cases, given a function φ∈ kG, there exists no nice formula for φ(fg).
But, if we restrict φ to some subspaces, the expression of φ(fg) can be nicely split. Examples will be taken in : Faà di Bruno formula, Free group, Noncommutative Symmetric function. If time permits, we will treat some points of the theory of deformation and some combinatorial aspects of quantum groups.
|Dernière modification : Friday 06 April 2012||Contact : Cyril.Banderier at lipn.univ-paris13.fr|