Álgebra de Hopf trançada a partir de um par combinado de grupos
Let (F,G, ◃, ▹) be a matched pair of finite groups and σ : F × F −→ (|×)G and τ : G×G −→ (|×)F two 2-cocycles. In general, the bicrossed product R = |G ∗τ σ |F is not a bialgebra, neither a braided Hopf algebra. The purpose of this work is to study necessary and sufficient conditions over σ, τ and a br...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Brasil |
| Institución: | Universidade Federal de Santa Maria (UFSM) |
| Repositorio: | Manancial - Repositório Digital da UFSM |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufsm.br:1/21534 |
| Acceso en línea: | http://repositorio.ufsm.br/handle/1/21534 |
| Access Level: | acceso abierto |
| Palabra clave: | Álgebra de Hopf Par combinado Álgebra de Hopf trançada Produto bicruzado Cohomologia Módulo de Yetter-Drinfeld Hopf algebra Matched pair Braided Hopf algebra Bicrossed product Cohomology Yetter-Drinfeld module CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | Let (F,G, ◃, ▹) be a matched pair of finite groups and σ : F × F −→ (|×)G and τ : G×G −→ (|×)F two 2-cocycles. In general, the bicrossed product R = |G ∗τ σ |F is not a bialgebra, neither a braided Hopf algebra. The purpose of this work is to study necessary and sufficient conditions over σ, τ and a braid c such that R is a braided Hopf algebra in the category of Yetter-Drinfeld modules over some Hopf algebra H, in addition to present the cohomological interpretation of this result. |
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