4 citations · 5 across the 6 of their papers we have counts for
6 papers
Quillen (co)homology of divided power algebras over an operad
Ioannis Dokas, Martin Frankland, Sacha Ikonicoff
Barr--Beck cohomology, put into the framework of model categories by Quillen, provides a cohomology theory for any algebraic structure, for example André--Quillen cohomology of com…
On Kähler differentials of divided powers algebras
Ioannis Dokas
The Quillen-Barr-Beck cohomology of augmented algebras with divided powers is defined as the derived functor of Beck derivations. The main theorem of this paper states that the Käh…
Torsors and the Quillen-Barr-Beck cohomology for restricted Lie algebras
Ioannis Dokas
Given an exact sequence of restricted Lie algebras using Duskin's torsors theory, we establish an eight term exact sequence for Quillen-Barr-Beck cohomology of restricted Lie algeb…
Cohomology of Restricted Lie-Rinehart Algebras and the Brauer Group
Ioannis Dokas
We give an interpretation of the Brauer group of a purely inseparable extension of exponent 1, in terms of restricted Lie-Rinehart cohomology. In particular, we define and study th…
Pre-Lie algebras in positive characteristic
Ioannis Dokas
In prime characteristic we introduce the notion of restricted pre-Lie algebras. We prove in the pre-Lie context the analogue to Jacobson's theorem for restricted Lie algebras. In p…
On restricted Leibniz algebras
Ioannis Dokas, Jean-Louis Loday
In this paper we prove that in prime characteristic there is a functor from the category of diassociative algebras to the category of restricted Leibniz algebras, gene…