Abelian subalgebras in some particular types of Lie algebras

DOI10.1016/j.na.2008.11.006zbMath1238.17006OpenAlexW2020059405MaRDI QIDQ419776

Manuel Ceballos, Angel Francisco Tenorio Villalón, Juan Núñez Valdés

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.006

zbMATH Keywords

nilpotent Lie algebrasolvable Lie algebraHeisenberg algebrasabelian subalgebrasmaximal abelian dimension

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Cites Work

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• Einstein metrics: homogeneous solvmanifolds, generalised Heisenberg groups and black holes
• Cosmological backgrounds of superstring theory and solvable algebras: oxidation and branes
• Noncompact homogeneous Einstein spaces
• R-R scalars, \(U\)-duality and solvable Lie algebras
• The maximal abelian dimension of linear algebras formed by strictly upper triangular matrices
• Exact Solutions of Einstein's Field Equations
• Schur’s theorems on commutative matrices
• General Relativity

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