Data di Pubblicazione:
2022
Citazione:
Fibred-categorical obstruction theory / A.S. Cigoli, S. Mantovani, G. Metere, E.M. Vitale. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 593(2022), pp. 105-141. [10.1016/j.jalgebra.2021.10.040]
Abstract:
We set up a fibred categorical theory of obstruction and classification of morphisms that specialises to the one of monoidal functors between categorical groups and also to the Schreier-Mac Lane theory of group extensions. Further applications are provided to crossed extensions and crossed bimodule butterflies, with in particular a classification of non-abelian extensions of unital associative algebras in terms of Hochschild cohomology.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Cohomology; Fibration; Category of fractions; Schreier-Mac Lane theorem; Obstruction theor
Elenco autori:
A.S. Cigoli, S. Mantovani, G. Metere, E.M. Vitale
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