Algorithm to compute the maximal Abelian dimension of Lie algebras

DOI10.1007/S00607-009-0029-8zbMath1184.17001OpenAlexW1991913016MaRDI QIDQ836944

Juan Núñez Valdés, Manuel Ceballos, Angel Francisco Tenorio Villalón

Publication date: 9 September 2009

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-009-0029-8

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (3)

The maximal abelian dimension of a Lie algebra, Rentschler's property and Milovanov's conjecture ⋮ New results in the classification of filiform Lie algebras ⋮ Abelian subalgebras on Lie algebras

Uses Software

• Maple

Cites Work

• The minimal dimension of maximal commutative subalgebras of full matrix algebras
• Classification and Casimir invariants of Lie-Poisson brackets
• The maximal abelian dimension of linear algebras formed by strictly upper triangular matrices
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