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Leavitt Path Algebras in Which Every Lie Ideal is an Ideal and Applications
In this paper, we classify all Leavitt path algebras which have the property that every Lie ideal is an ideal. As an application, we show that...
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Lie Structures and Chain Ideal Lattices
The purpose of this paper is twofold. Firstly, to emphasise that the class of Lie algebras with chain lattices of ideals are elementary blocks in the...
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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...
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Similarity solution for magnetogasdynamic spherical shock wave in a self-gravitating non-ideal radiating gas using lie invariance method
In this article, a mathematical model describing the unsteady adiabatic flow of spherical shock waves in a self-gravitating, non-ideal radiating gas...
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Structure of sympathetic Lie color algebras
In this paper, we’ll introduce the concept of sympathetic Lie color algebras and show that some classical properties of semi-simple Lie color...
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Products of Commutator Ideals of Some Lie-admissible Algebras
In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and...
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Hermitian geometry of Lie algebras with abelian ideals of codimension 2
We examine Hermitian metrics on unimodular Lie algebras which contains a J -invariant abelian ideal of codimension two, and give a classification for...
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Detecting capable pairs of some nilpotent Lie superalgebras
In this article, we define the capable pairs of Lie superalgebras. We classify all capable pairs of abelian and Heisenberg Lie superalgebras. After...
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Structure of the Variety of Alternative Algebras with the Lie-Nilpotency Identity of Degree 5
We construct an additive basis for a relatively free alternative algebra of Lie-nilpotent degree 5, describe the associative center and core of this...
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Similarity solutions for magnetogasdynamic cylindrical shock wave in rotating non-ideal gas using Lie group theoretic method
The propagation of magnetogasdynamic cylindrical shock wave in rotating non-ideal gas under adiabatic flow condition, using Lie group of...
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Casimir preserving stochastic Lie–Poisson integrators
Casimir preserving integrators for stochastic Lie–Poisson equations with Stratonovich noise are developed, extending Runge–Kutta Munthe-Kaas methods....
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Wild Local Structures of Automorphic Lie Algebras
We study automorphic Lie algebras using a family of evaluation maps parametrised by the representations of the associative algebra of functions. This...
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Finite Dimensional Lie Algebras
Another fertile field to explore the link between algebraic relations of the matrices and the properties of their characteristic polynomial is where...
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Lie hyperalgebras
We define the Lie hyperalgebra of a Lie hypergroup as the smallest (possibly infinite dimensional) Lie algebra containing left invariant vector...
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Centroid Hom-associative Algebras and Centroid Hom-Lie Algebras
In this article, we construct free centroid hom-associative algebras and free centroid hom-Lie algebras. We also construct some other relatively free...
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Moduli of Lie p-algebras
In this paper, we study moduli spaces of finite-dimensional Lie algebras with flat center, proving that the forgetful map from Lie p -algebras to Lie...
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Character Sheaves for Classical Graded Lie Algebras
In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg’s type II...
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Complete reducibility for Lie subalgebras and semisimplification
Let G be a connected reductive linear algebraic group over a field k . Using ideas from geometric invariant theory, we study the notion of G -complete...