Easy quantum groups
Résumé
A closed subgroup G ⊂ u U + N is called easy when its associated Tannakian category C kl = Hom(u ⊗k , u ⊗l) appears from a category of partitions, C = span(D) with D = (D kl) ⊂ P , via the standard implementation of partitions as linear maps. The examples abound, and the main known subgroups G ⊂ U + N are either easy, or not far from being easy. We discuss here the basic theory, examples and known classification results for the easy quantum groups G ⊂ U + N , as well as various generalizations of the formalism, known as super-easiness theories, and the unification problem for them.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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