On Hopf algebras over quantum subgroups

Using the standard filtration associated with a generalized lifting method, we determine all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose coradical generates a Hopf subalgebra isomorphic to the smallest non-pointed non-cosemisimple Hopf algebra K a...

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Detalles Bibliográficos
Autores principales: García, Gastón Andrés, Giraldi, João Matheus Jury
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2019
Materias:
Matemática
Nichols algebra
Hopf algebra
Standard filtration
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125096
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125096
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Nichols algebra
Hopf algebra
Standard filtration
spellingShingle Matemática
Nichols algebra
Hopf algebra
Standard filtration
García, Gastón Andrés
Giraldi, João Matheus Jury
On Hopf algebras over quantum subgroups
topic_facet Matemática
Nichols algebra
Hopf algebra
Standard filtration
description Using the standard filtration associated with a generalized lifting method, we determine all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose coradical generates a Hopf subalgebra isomorphic to the smallest non-pointed non-cosemisimple Hopf algebra K and the corresponding infinitesimal module is an indecomposable object in YD K K (we assume that the diagrams are Nichols algebras). As a byproduct, we obtain new Nichols algebras of dimension 8 and new Hopf algebras of dimension 64.
format Articulo
Preprint
author García, Gastón Andrés
Giraldi, João Matheus Jury
author_facet García, Gastón Andrés
Giraldi, João Matheus Jury
author_sort García, Gastón Andrés
title On Hopf algebras over quantum subgroups
title_short On Hopf algebras over quantum subgroups
title_full On Hopf algebras over quantum subgroups
title_fullStr On Hopf algebras over quantum subgroups
title_full_unstemmed On Hopf algebras over quantum subgroups
title_sort on hopf algebras over quantum subgroups
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/125096
work_keys_str_mv AT garciagastonandres onhopfalgebrasoverquantumsubgroups
AT giraldijoaomatheusjury onhopfalgebrasoverquantumsubgroups
bdutipo_str Repositorios
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