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arXiv · 2304.00494

Cocycle twisting of semidirect products and transmutation

Erik Habbestad·Sergey Neshveyev
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Abstract

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.

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BibTeXRIS

Erik Habbestad, Sergey Neshveyev. 2023-04-02. Cocycle twisting of semidirect products and transmutation. https://doi.org/10.1093/imrn%2Frnae015

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