44 citations · 366 across the 37 of their papers we have counts for
6 papers · 1 filter
Schur- and Baer-type theorems for Lie and Leibniz algebras
Guram Donadze, Tim Van der Linden
The aim of this article is to obtain variations on the classical theorems of Schur and Baer on finiteness of commutator subgroups, valid in the contexts of Lie algebras and Leibniz…
Associativity and the cosmash product in operadic varieties of algebras
Ülo Reimaa, Tim Van der Linden, Corentin Vienne
In this article, we characterise the operadic variety of commutative associative algebras over a field via a (categorical) condition: the associativity of the so-called cosmash pro…
Algebras with representable representations
Xabier García-Martínez, Matsvei Tsishyn, Tim Van der Linden +1
Just like group actions are represented by group automorphisms, Lie algebra actions are represented by derivations: up to isomorphism, a split extension of a Lie algebra by a L…
A characterisation of Lie algebras amongst anti-commutative algebras
Xabier García-Martínez, Tim Van der Linden
Let be an infinite field. We prove that if a variety of anti-commutative -algebras - not necessarily associative, where is an identity - is locally…
A note on split extensions of bialgebras
Xabier García-Martínez, Tim Van der Linden
We prove a universal characterization of Hopf algebras among cocommutative bialgebras over a field: a cocommutative bialgebra is a Hopf algebra precisely when every split extension…
Do -Lie algebras have universal enveloping algebras
Xabier Garcia-Martinez, Rustam Turdibaev, Tim van der Linden
The aim of this paper is to investigate in which sense, for , -Lie algebras admit universal enveloping algebras. There have been some attempts at a construction (see [1…