Data di Pubblicazione:
2013
Citazione:
Obstruction theory in action accessible categories / A.S. Cigoli, G. Metere, A. Montoli. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 385:(2013 Jul 01), pp. 27-46. [10.1016/j.jalgebra.2013.03.020]
Abstract:
We show that, in semi-abelian action accessible categories (such as the categories of groups, Lie algebras, rings, associative algebras and Poisson algebras), the obstruction to the existence of extensions is classified by the second cohomology group in the sense of Bourn. Moreover, we describe explicitly the obstruction to the existence of extensions in the case of Leibniz algebras, comparing Bourn cohomology with Loday–Pirashvili cohomology of Leibniz algebras.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
obstruction theory; action accessible categories; Leibniz algebras
Elenco autori:
A.S. Cigoli, G. Metere, A. Montoli
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