37 citations · 137 across the 45 of their papers we have counts for
55 papers
Fixed-point-free automorphisms of solvable Lie algebras
Dietrich Burde, Karel Dekimpe
In this paper, we investigate the existence of fixed-point-free automorphisms for finite-dimensional Lie algebras. By a result of Jacobson, a Lie algebra admitting a fixed-point-fr…
Estimates on binomial sums of partition functions
Dietrich Burde
Let denote the partition function and define where . We prove that is unimodal and satisfies $p(n,k) < \frac{2.8…
Affine cohomology classes for filiform Lie algebras
Dietrich Burde
We classify the cohomology spaces for all filiform nilpotent Lie algebras of dimension over and for certain classes of algebras of dimension $n\…
The index of nilpotent Lie algebras
Dietrich Burde, Karel Dekimpe
The index of a Lie algebra is an important invariant which arises in several areas, e.g. in the study of coadjoint orbits for a Lie group, in invariant theory and in representation…
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…
Characteristically nilpotent Lie groups with flat coadjoint orbits
Dietrich Burde, Jordy Timo van Velthoven
We study the existence of certain characteristically nilpotent Lie algebras with flat coadjoint orbits. Their connected, simply connected Lie groups admit square-integrable represe…