2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.RA2011★ 2 cited
Affine actions on Lie groups and post-Lie algebra structures
Dietrich Burde, Karel Dekimpe, Kim Vercammen
We introduce post-Lie algebra structures on pairs of Lie algebras $(\Lg,\Ln)$ defined on a fixed vector space . Special cases are LR-structures and pre-Lie algebra structures on…
math.RA2009★ 1 cited
Complete LR-structures on solvable Lie algebras
Dietrich Burde, Karel Dekimpe, Kim Vercammen
An LR-structure on a Lie algebra is a bilinear product, satisfying certain commutativity relations, and which is compatible with the Lie product. LR-structures arise in the study o…
math.RA2007
Novikov algebras and Novikov structures on Lie algebras
Dietrich Burde, Karel Dekimpe, Kim Vercammen
We study ideals of Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We present the first example of a three-step nilpotent Lie algebra which does not adm…