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20112024
most citedSplit abelian chief factors and first degree cohomology for Lie algebras

1 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

math.RA2024

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…

math.RA2024

Semi-simple Leibniz algebras I

Jörg Feldvoss

The goal of this paper is to describe the structure of finite-dimensional semi-simple Leibniz algebras in characteristic zero. Our main tool in this endeavor are hemi-semidirect pr…

math.KT2023★ 1 cited

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…

math.AT2019

On Leibniz cohomology

Jörg Feldvoss, Friedrich Wagemann

In this paper we prove the Leibniz analogue of Whitehead's vanishing theorem for the Chevalley-Eilenberg cohomology of Lie algebras. As a consequence, we obtain the second Whitehea…

math.RT2015

Some Problems in the Representation Theory of Simple Modular Lie Algebras

Georgia Benkart, Jörg Feldvoss

The finite-dimensional restricted simple Lie algebras of characteristic p > 5 are classical or of Cartan type. The classical algebras are analogues of the simple complex Lie algebr…

math.RA2013

Split strongly abelian p-chief factors and first degree restricted cohomology

Jörg Feldvoss, Salvatore Siciliano, Thomas Weigel

In this paper we investigate the relation between the multiplicities of split strongly abelian p-chief factors of finite-dimensional restricted Lie algebras and first degree restri…

math.RA2012★ 1 cited

Split abelian chief factors and first degree cohomology for Lie algebras

Jörg Feldvoss, Salvatore Siciliano, Thomas Weigel

In this paper we investigate the relation between the multiplicities of split abelian chief factors of finite-dimensional Lie algebras and first degree cohomology. In particular, w…

math.RA2011

Outer restricted derivations of nilpotent restricted Lie algebras

Jörg Feldvoss, Salvatore Siciliano, Thomas Weigel

In this paper we prove that every finite-dimensional nilpotent restricted Lie algebra over a field of prime characteristic has an outer restricted derivation whose square is zero u…