Lifting via cocycle deformation

We develop a strategy to compute all liftings of a Nichols algebra over a finite dimensional cosemisimple Hopf algebra. We produce them as cocycle deformations of the bosonization of these two. In parallel, we study the shape of any such lifting.

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Detalles Bibliográficos
Autores principales: Andruskiewitsch, Nicolás, Angiono, Iván Ezequiel, García Iglesias, Agustín, Masuoka, Akira, Vay, Cristian Damián
Formato: article
Lenguaje:Inglés
Publicado: 2022
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Acceso en línea:http://hdl.handle.net/11086/29923
https://doi.org/10.48550/arXiv.1212.5279
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Descripción
Sumario:We develop a strategy to compute all liftings of a Nichols algebra over a finite dimensional cosemisimple Hopf algebra. We produce them as cocycle deformations of the bosonization of these two. In parallel, we study the shape of any such lifting.