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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Autores principales: | , , , , |
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Formato: | article |
Lenguaje: | Inglés |
Publicado: |
2022
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Materias: | |
Acceso en línea: | http://hdl.handle.net/11086/29923 https://doi.org/10.48550/arXiv.1212.5279 |
Aporte de: |
id |
I10-R141-11086-29923 |
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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 |
work_keys_str_mv |
AT andruskiewitschnicolas liftingviacocycledeformation AT angionoivanezequiel liftingviacocycledeformation AT garciaiglesiasagustin liftingviacocycledeformation AT masuokaakira liftingviacocycledeformation AT vaycristiandamian liftingviacocycledeformation |
bdutipo_str |
Repositorios |
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1764820392833187840 |