Homology, Homotopy and Applications
Volume 17 (2015)
Torsors and the Quillen-Barr-Beck cohomology for restricted Lie algebras
Pages: 203 – 234
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.
restricted Lie algebra, Quillen-Barr-Beck cohomology, torsor, crossed module
2010 Mathematics Subject Classification
17B50, 17B55, 18C15, 18G30