33 citations · 90 across the 37 of their papers we have counts for
44 papers
Free Reductive Lie Algebra Pairs of Lie-Yamaguti algebras
Saïd Benayadii, Martin Bordemann, Friedrich Wagemann
The goal of this article is to show the categorical links between on the one hand the category of reductive Lie algebra pairs and on the other hand the category of…
Deformations of semi-direct products
Maria Alejandra Alvarez, Salim Rivière, Nadina Rojas +2
We exhibit in this article a contraction of the direct product Lie algebra of a finite-dimensional complex Lie algebra onto the semi-direct product Lie algebra $g\r…
Cohomology of perfect Lie algebras
Dietrich Burde, Friedrich Wagemann
We study the adjoint cohomology of perfect Lie algebras over the complex numbers. For the family of perfect Lie algebras we obtain…
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…
Tensor products of Leibniz bimodules and Grothendieck rings
Jörg Feldvoss, Friedrich Wagemann
In this paper we define three different notions of tensor products for Leibniz bimodules. The ``natural" tensor product of Leibniz bimodules is not always a Leibniz bimodule. In or…
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…