Lie algebras all of whose subalgebras are supersolvable.
A Lie algebra L is said to be minimal non supersolvable if all its subalgebras, except L itself, are supersolvable.
Lie algebras and coverings.
Lie algebras connected with associative ones
Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy.
Lie algebras graded by the root system .
Lie algebras of a class of top spaces.
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.
Lie algebras of formal power series.
Lie algebras of least cohomology.
Lie algebras of vector fields and generalized foliations.
The main result is a Pursell-Shanks type theorem describing isomorphism of the Lie algebras of vector fields preserving generalized foliations. The result includes as well smooth as real-analytic and holomorphic cases.
Lie algebras with a given lattice of ideals.
We give a complete classification of Lie Algebras whose lattice of ideals has the length ≤ 2.
Lie bialgebras real cohomology.
Lie brackets and real analyticity in control theory
Lie commutators in a free diassociative algebra
We give a criterion for Leibniz elements in a free diassociative algebra. In the diassociative case one can consider two versions of Lie commutators. We give criterions for elements of diassociative algebras to be Lie under these commutators. One of them corresponds to Leibniz elements. It generalizes the Dynkin-Specht-Wever criterion for Lie elements in a free associative algebra.
Lie group analysis of mixed convection flow with mass transfer over a stretching surface with suction or injection.
Lie groups with no left invariant complex structures
Lie perfect, Lie central extension and generalization of nilpotency in multiplicative Lie algebras
This paper aims to introduce and explore the concept of Lie perfect multiplicative Lie algebras, with a particular focus on their connections to the central extension theory of multiplicative Lie algebras. The primary objective is to establish and provide proof for a range of results derived from Lie perfect multiplicative Lie algebras. Furthermore, the study extends the notion of Lie nilpotency by introducing and examining the concept of local nilpotency within multiplicative Lie algebras. The...
Lie powers of infinite-dimensional modules.
Lie quasi-bialgebras with quasi-triangular decomposition.
Lie Semialgebras are Real Phenomena.