Abstract
On donne deux interprétations géométriques de l’automorphisme barre de la partie positive d’une algèbre enveloppante quantique. La première est en terme de nombre de points rationnels sur des corps finis d’analogues de variétés orbitales en théorie des carquois. La seconde est en terme de dualité dans les fonctions constructibles sur la variéte préprojective.
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