Cocycle twisting of semidirect products and transmutation
| Autor: | Habbestad, Erik, Neshveyev, Sergey |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We apply Majid's transmutation procedure to Hopf algebra maps $H \to \mathbb C[T]$, where $T$ is a compact abelian group, and explain how this construction gives rise to braided Hopf algebras over quotients of $T$ by subgroups that are cocentral in $H$. This allows us to unify and generalize a number of recent constructions of braided compact quantum groups, starting from the braided $SU_q(2)$ quantum group, and describe their bosonizations. Comment: 22 pages; v3: some corrections, classification of braided free orthogonal quantum groups up to isomorphism added; v2: minor corrections and improvements, a discussion of Mrozinski's quantum groups added |
| Databáze: | arXiv |
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