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 : Thursday 21 November 2024 |
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Contact pour cette page : Cyril.Banderier at lipn.univ-paris13.fr |