The intertwiner spaces of non-easy group-theoretical quantum groups (Q2032774)
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scientific article; zbMATH DE number 7358364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The intertwiner spaces of non-easy group-theoretical quantum groups |
scientific article; zbMATH DE number 7358364 |
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The intertwiner spaces of non-easy group-theoretical quantum groups (English)
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14 June 2021
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Summary: In 2015, Raum and Weber [Zbl 1350.46047] gave a definition of group-theoretical quantum groups, a class of compact matrix quantum groups with a certain presentation as semi-direct product quantum groups, and studied the case of easy quantum groups. In this article we determine the intertwiner spaces of non-easy group-theoretical quantum groups. We generalise group-theoretical categories of partitions and use a fiber functor to map partitions to linear maps which is slightly different from the one for easy quantum groups. We show that this construction provides the intertwiner spaces of group-theoretical quantum groups in general.
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quantum groups
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easy quantum groups
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group-theoretical quantum groups
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semidirect product quantum groups
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categories of partitions
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0.94317925
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0.8934981
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0.8780391
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