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
Materias:
Hopf algebras
Acceso en línea:http://hdl.handle.net/11086/29923
https://doi.org/10.48550/arXiv.1212.5279
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-29923
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Hopf algebras
spellingShingle Hopf algebras
Andruskiewitsch, Nicolás
Angiono, Iván Ezequiel
García Iglesias, Agustín
Masuoka, Akira
Vay, Cristian Damián
Lifting via cocycle deformation
topic_facet Hopf algebras
description 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.
format article
author Andruskiewitsch, Nicolás
Angiono, Iván Ezequiel
García Iglesias, Agustín
Masuoka, Akira
Vay, Cristian Damián
author_facet Andruskiewitsch, Nicolás
Angiono, Iván Ezequiel
García Iglesias, Agustín
Masuoka, Akira
Vay, Cristian Damián
author_sort Andruskiewitsch, Nicolás
title Lifting via cocycle deformation
title_short Lifting via cocycle deformation
title_full Lifting via cocycle deformation
title_fullStr Lifting via cocycle deformation
title_full_unstemmed Lifting via cocycle deformation
title_sort lifting via cocycle deformation
publishDate 2022
url http://hdl.handle.net/11086/29923
https://doi.org/10.48550/arXiv.1212.5279
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AT angionoivanezequiel liftingviacocycledeformation
AT garciaiglesiasagustin liftingviacocycledeformation
AT masuokaakira liftingviacocycledeformation
AT vaycristiandamian liftingviacocycledeformation
bdutipo_str Repositorios
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