5 citations · 5 across the 4 of their papers we have counts for
5 papers
Bialgebraic approach to rack cohomology
Simon Covez, Marco Farinati, Victoria Lebed +1
We interpret the complexes defining rack cohomology in terms of a certain differential graded bialgebra. This yields elementary algebraic proofs of old and new structural results f…
Bialgebraic proof of the existence of cup-product in the cohomology of racks and quandles
Simon Covez, Marco Farinati, Dominique Manchon
We retrieve the graded commutative algebra structure of rack and quandle cohomology by purely algebraic means.
Rack homology and conjectural Leibniz homology
Simon Covez
This article presents results being consistent with conjectures of J.-L. Loday about the existence and properties of a Leibniz homology for groups. Introducing L-sets we prove that…
On the conjectural cohomology for groups
Simon Covez
The goal of this paper is to present results which are consistent with conjectures about the Leibniz (co)homology for discrete groups stated by J. L. Loday. We show that rack cohom…
The local integration of Leibniz algebras
Simon Covez
This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Li…