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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.RA2026
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\…