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Pré-Publication, Document De Travail Année : 2023

Easy quantum groups

Teo Banica
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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.
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Dates et versions

hal-04354449 , version 1 (19-12-2023)

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  • HAL Id : hal-04354449 , version 1

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Teo Banica. Easy quantum groups. 2023. ⟨hal-04354449⟩
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