2 papers
math.RA2026
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…
math.RT2025
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…