33 citations · 90 across the 37 of their papers we have counts for
5 papers · 1 filter
Crossed modules and cohomology of algebras over an operad
Johan Leray, Salim Rivière, Friedrich Wagemann
We introduce a general definition of a -crossed module of -algebras over an algebraic operad , which coincides with historical definitions in the cases of the operads As a…
On the Gabriel quiver of extensions of Leibniz algebras
Ziwendtaoré Hermann Bamogo, Friedrich Wagemann
We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial -dimensional Leibniz algebra. Vertices of the qui…
Cohomology of solvable Leibniz algebras
Jörg Feldvoss, Friedrich Wagemann
This paper is a sequel to our article [Feldvoss-Wagemann], where we mainly considered semi-simple Leibniz algebras. It turns out that the analogue of the Hochschild-Serre spectral…
On Lie algebra crossed modules
Friedrich Wagemann
This article constructs a crossed module corresponding to the generator of the third cohomology group with trivial coefficients of a complex simple Lie algebra. This generator read…
On the Leibniz cohomology of vector fields
Alessandra Frabetti, Friedrich Wagemann
I. M. Gelfand and D. B. Fuks have studied the cohomology of the Lie algebra of vector fields on a manifold. In this article, we generalize their main tools to compute the Leibniz c…