Deformation by cocycles of pointed Hopf algebras over non-abelian groups

We explore a method for explicitly constructing multiplicative 2-cocycles for bosonizations of Nichols algebras B(V) over Hopf algebras H. These cocycles arise as liftings of H-invariant linear functionals on V ⊗ V and give a formula for deforming braidedcommutator-type relations. Using this constru...

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Detalles Bibliográficos
Autores principales: García, Gastón Andrés, Mastnak, Mitja
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2015
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132104
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132104
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
spellingShingle Matemática
García, Gastón Andrés
Mastnak, Mitja
Deformation by cocycles of pointed Hopf algebras over non-abelian groups
topic_facet Matemática
description We explore a method for explicitly constructing multiplicative 2-cocycles for bosonizations of Nichols algebras B(V) over Hopf algebras H. These cocycles arise as liftings of H-invariant linear functionals on V ⊗ V and give a formula for deforming braidedcommutator-type relations. Using this construction, we show that all known finite-dimensional pointed Hopf algebras over the dihedral groups Dm with m = 4t ≥ 12, over the symmetric group S3, and some families over S4 are cocycle deformations of bosonizations of Nichols algebras.
format Articulo
Preprint
author García, Gastón Andrés
Mastnak, Mitja
author_facet García, Gastón Andrés
Mastnak, Mitja
author_sort García, Gastón Andrés
title Deformation by cocycles of pointed Hopf algebras over non-abelian groups
title_short Deformation by cocycles of pointed Hopf algebras over non-abelian groups
title_full Deformation by cocycles of pointed Hopf algebras over non-abelian groups
title_fullStr Deformation by cocycles of pointed Hopf algebras over non-abelian groups
title_full_unstemmed Deformation by cocycles of pointed Hopf algebras over non-abelian groups
title_sort deformation by cocycles of pointed hopf algebras over non-abelian groups
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/132104
work_keys_str_mv AT garciagastonandres deformationbycocyclesofpointedhopfalgebrasovernonabeliangroups
AT mastnakmitja deformationbycocyclesofpointedhopfalgebrasovernonabeliangroups
bdutipo_str Repositorios
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