Classification of the symmetry Lie algebras for six-dimensional co-dimension two Abelian nilradical Lie algebras by Nouf Almutiben, Edward L. Boone, Ryad Ghanam, G. Thompson

“…For each algebra, we give the geodesic equations, a basis for the symmetry Lie algebra in terms of vector fields, and finally we identify the symmetry Lie algebra from standard lists.…”
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Semi-simple lie algebras and their representations/ by 249806 Cahn, Robert N.

Subjects: “…Lie algebras…”

Lie algebras and locally compact groups / by Kaplansky, Irving, 1917-

Subjects: “…Lie algebras…”

Lie algebras : applications and computational methods / by Conference on Lie Algebras : Applications and Computational Methods (1972 : Drexel University), Kolman, Bernard

Subjects: “…Lie algebras…”

Representations of lie algebras and lie superalgebras / by Mahamad Mat Min, author

Subjects: “…Lie algebras…”

Introduction to lie algebras and representation theory / by 364558 Humphreys, James E.

Subjects: “…Lie algebras…”

Introduction to lie groups and lie algebras/ by Sagle, Arthur A, Walde, Ralph E.

Subjects:

Lie groups, Lie algebras, and their representations / by 189908 Varadarajan, V. S.

Subjects:

Computations in finite-dimensional Lie algebras by A. M. Cohen, W. A. de Graaf, L. Rónyai

“…This paper describes progress made in context with the construction of a general library of Lie algebra algorithms, called ELIAS (Eindhoven Lie Algebra System), within the computer algebra package GAP. …”
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Induced Modules for Affine Lie Algebras by Vyacheslav Futorny, Iryna Kashuba

“…We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence between a certain category of P-induced G-modules and the category of weight P-modules with injective action of the central element of G. …”
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Post-Lie algebras in Regularity Structures by Yvain Bruned, Foivos Katsetsiadis

“…We show that this Lie algebra comes from an underlying post-Lie structure.…”
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Algebraic Inverses on Lie Algebra Comultiplications by Dae-Woong Lee

Subjects: “…Lie algebra comultiplication…”
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Cosymplectic and α-cosymplectic Lie algebras by Calvaruso Giovanni, Perrone Antonella

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On the CP exterior product of Lie algebras by Zeinab Araghi Rostami

“…In this paper, under certain conditions, we show that the non-abelian CP exterior product distributes over direct product of Lie algebras. Then we present some properties about CP extension of Lie algebras.…”
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Computations in finite-dimensional Lie algebras by A. M. Cohen, W. A. Graaf, L. Rónyai

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On Equality of Certain Derivations of Lie Algebras by Amiri Azita, Saeedi Farshid, Alemi Mohammad Reza

“…Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. …”
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Integrable triples in semisimple Lie algebras by De Sole, Alberto, Jibladze, Mamuka, Kac, Victor G., Valeri, Daniele

“…Abstract We classify all integrable triples in simple Lie algebras, up to equivalence. The importance of this problem stems from the fact that for each such equivalence class one can construct the corresponding integrable hierarchy of bi-Hamiltonian PDE. …”
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On Dynkin gradings in simple Lie algebras by Elashvili, Alexander, Jibladze, Mamuka, Kac, Victor

“…In this paper we study Dynkin gradings on simple Lie algebras arising from nilpotent elements. Specifically, we investigate Abelian subalgebras which are degree 1 homogeneous with respect to these gradings.…”
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Cyclic elements in semisimple lie algebras by Elashvili, A. G., Vinberg, E. B., Kac, Victor

“…We develop a theory of cyclic elements in semisimple Lie algebras. This notion was introduced by Kostant, who associated a cyclic element with the principal nilpotent and proved that it is regular semisimple. …”
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Deformation theory and partition lie algebras by Brantner, L, Mathew, A

“…We introduce a variant of differential graded Lie algebras, called partition Lie algebras, in arbitrary characteristic. …”