Algorithmic method to obtain abelian subalgebras and ideals in Lie algebras

DOI10.1080/00207160.2012.688112zbMath1255.17002OpenAlexW2020052594MaRDI QIDQ4903499

Juan Núñez Valdés, Manuel Ceballos, Angel Francisco Tenorio Villalón

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.688112

zbMATH Keywords

algorithmabelian ideal\(\beta\) invariant\(\alpha\) invariantabelian Lie subalgebra

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (4)

Algorithmic procedure to compute abelian subalgebras and ideals of maximal dimension of Leibniz algebras ⋮ The maximal abelian dimension of a Lie algebra, Rentschler's property and Milovanov's conjecture ⋮ On the algorithmic linearizability of nonlinear ordinary differential equations ⋮ Algorithm to compute abelian subalgebras and ideals in Malcev algebras

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• On the dimensions of commutative subalgebras and subgroups.
• The minimal dimension of maximal commutative subalgebras of full matrix algebras
• On the level of some solvable Lie algebras
• Classification of orbit closures of 4-dimensional complex Lie algebras
• Abelian ideals in a Borel subalgebra of a complex simple Lie algebra
• Classification and Casimir invariants of Lie-Poisson brackets
• The maximal abelian dimension of linear algebras formed by strictly upper triangular matrices
• Solvable Lie algebras of dimension six
• Degenerations of 6-dimensional nilpotent lie algebras over C
• How abelian is a finite-dimensional Lie algebra?
• Bounds for the Dimensions of Certain Lie Algebras

This page was built for publication: Algorithmic method to obtain abelian subalgebras and ideals in Lie algebras