The third cohomology group classifies double central extensions

We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z;A) of an object Z with coe cients in an abelian object A classi es the double central extensions of Z by A.

Detalhes bibliográficos
Autor principal: Rodelo, Diana (author)
Outros Autores: Linden, Tim Van der (author)
Formato: other
Idioma:eng
Publicado em: 2008
Assuntos:
Cohomology
Categorical Galois theory
Semi-abelian category
Higher central extension
Baer sum
Texto completo:http://hdl.handle.net/10316/11209
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11209
Descrição
Resumo:We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z;A) of an object Z with coe cients in an abelian object A classi es the double central extensions of Z by A.

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