Recent results on the derived length of Lie solvable group algebras.
Remarks on nilpotent Lie algebras of vector fields.
Représentations des algèbres de Lie résolubles
Representations of codimension one non-abelian nilradical Lie algebras.
Representations of solvable Lie algebras. II. Twisted group rings
Rigid Two-Step Nilpotent Lie Groups relative to Multicontact Structures
SCAP-subalgebras of Lie algebras
A subalgebra of a finite dimensional Lie algebra is said to be a -subalgebra if there is a chief series of such that for every , we have or . This is analogous to the concept of -subgroup, which has been studied by a number of authors. In this article, we investigate the connection between the structure of a Lie algebra and its -subalgebras and give some sufficient conditions for a Lie algebra to be solvable or supersolvable.
Simple left-symmetric algebras with solvable Lie algebra.
Singular operations on algebras (generalized contractions)
Sobre derivaciones de algebras de Lie
Sobre derivaciones exteriores de algebras de Lie
Soluble subideals of Lie algebras
Solvable extensions of a special class of nilpotent Lie algebras
A pair of sequences of nilpotent Lie algebras denoted by and are introduced. Here denotes the dimension of the algebras that are defined for ; the first term in the sequences are denoted by 6.11 and 6.19, respectively, in the standard list of six-dimensional Lie algebras. For each of and all possible solvable extensions are constructed so that and serve as the nilradical of the corresponding solvable algebras. The construction continues Winternitz’ and colleagues’ program of investigating...
Solvable Lie algebras and maximal abelian dimensions.
Some Lie rings associated with Burnside groups.
Some properties of complex filiform Lie algebras.
The purpose of this paper is to study some properties of Filiform Lie Algebras (FLA) and to prove the following theorem: a FLA, of dimension n, is either derived from a Solvable Lie Algebra (SLA) of dimension n+1 or not derived from any LA.
Some Theorems on Saturated Homomorphs of Soluble Lie Algebras.
Something about Frattini subalgebras of a class of solvable Lie algebras.
Spectrum for a solvable Lie algebra of operators
A new concept of spectrum for a solvable Lie algebra of operators is introduced, extending the Taylor spectrum for commuting tuples. This spectrum has the projection property on any Lie subalgebra and, for algebras of compact operators, it may be computed by means of a variant of the classical Ringrose theorem.
Sums of adjoint orbits.