Geodesic
Torsors and the Quillen-Barr-Beck cohomology for restricted Lie algebras
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 203-234.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we study Duskin-Glenn torsor cohomology in the context of restricted Lie algebras. In particular, we give an interpretation of the torsor cohomology groups which appear in Cegarra-Aznar’s eight-term exact sequence. Thus, we prove a classification theorem for the second Quillen-Barr-Beck cohomology in terms of $2$-fold extensions of restricted Lie algebras.
DOI : 10.4310/HHA.2015.v17.n1.a10
Classification : 17B50, 17B55, 18C15, 18G30
Keywords: restricted Lie algebra, Quillen-Barr-Beck cohomology, torsor, crossed module 
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Ioannis Dokas. Torsors and the Quillen-Barr-Beck cohomology for restricted Lie algebras. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 203-234. doi : 10.4310/HHA.2015.v17.n1.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a10/

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