Lie algebras with fixed-point-free automorphisms are strongly unimodular; complex almost abelian ones admit them under a specific criterion, and complex filiform ones do so precisely when they are not characteristically nilpotent.
Garc´ ıa Vergnolle:Sur les alg` ebres de Lie quasi-filiformes admettant un tore de d´ erivations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Fixed-point-free automorphisms of solvable Lie algebras
Lie algebras with fixed-point-free automorphisms are strongly unimodular; complex almost abelian ones admit them under a specific criterion, and complex filiform ones do so precisely when they are not characteristically nilpotent.