In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maximal abelian subalgebras of solvable Lie algebras and study solvable Lie algebras containing an abelian subalgebra of codimension 2. Finally, we prove that nilpotent Lie algebras with an abelian subalgebra of codimension 3 contain an abelian ideal with the same dimension, provided that the characteristic of the underlying field is not two. Throughout the paper, we also give several examples to clarify some results
Let $L$ be a non-abelian nilpotent Lie superalgebra of dimensiom $(m|n)$. Nayak shows there is a non...
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup...
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion f...
The main goal of this paper is to compute the maximal abelian dimension of each solvable nondecompos...
For a Lie algebra L and a subalgebra M of L we say that a subalgebra U of L is a supplement to M in ...
Relationships between certain properties of maximal subalgebras of a Lie algebra L and the structure...
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpote...
The main purpose of this paper is to study the finite-dimensional solvable Lie algebras described in...
Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zer...
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensi...
En esta tesis se han estudiado subálgebras e ideales abelianos de álgebras de Lie, considerando dos ...
A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L =...
A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L =...
Let $\mathfrak{g}$ be a complex simple Lie algebra and $\mathfrak{b}$ a fixed Borel subalgebra of $\...
AbstractWe construct all solvable Lie algebras with a specific n–dimensional nilradical nn,3 which c...
Let $L$ be a non-abelian nilpotent Lie superalgebra of dimensiom $(m|n)$. Nayak shows there is a non...
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup...
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion f...
The main goal of this paper is to compute the maximal abelian dimension of each solvable nondecompos...
For a Lie algebra L and a subalgebra M of L we say that a subalgebra U of L is a supplement to M in ...
Relationships between certain properties of maximal subalgebras of a Lie algebra L and the structure...
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpote...
The main purpose of this paper is to study the finite-dimensional solvable Lie algebras described in...
Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zer...
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensi...
En esta tesis se han estudiado subálgebras e ideales abelianos de álgebras de Lie, considerando dos ...
A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L =...
A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L =...
Let $\mathfrak{g}$ be a complex simple Lie algebra and $\mathfrak{b}$ a fixed Borel subalgebra of $\...
AbstractWe construct all solvable Lie algebras with a specific n–dimensional nilradical nn,3 which c...
Let $L$ be a non-abelian nilpotent Lie superalgebra of dimensiom $(m|n)$. Nayak shows there is a non...
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup...
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion f...