REPRESENTING FILIFORM LIE ALGEBRAS MINIMALLY AND FAITHFULLY BY STRICTLY UPPER-TRIANGULAR MATRICES

DOI10.1142/S0219498812501964zbMath1310.17006OpenAlexW2056702400WikidataQ115245680 ScholiaQ115245680MaRDI QIDQ4923933

Manuel Ceballos, Juan Núñez Valdés, Angel Francisco Tenorio Villalón

Publication date: 27 May 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501964

zbMATH Keywords

algorithmfiliform Lie algebraminimal faithful strictly upper-triangular matrix representation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (6)

Leibniz algebras associated with representations of filiform Lie algebras ⋮ Filiform Lie algebras with low derived length ⋮ On representations of the filiform Lie superalgebra \(L_{m,n}\) ⋮ Minimal faithful upper-triangular matrix representations for solvable Lie algebras ⋮ Minimal representations of filiform Lie algebras and their application for construction of Leibniz algebras ⋮ Algorithm to compute minimal matrix representation of nilpotent lie algebras

Cites Work

• Relations among invariants of complex filiform Lie algebras.
• A new method for classifying complex filiform Lie algebras
• A method to obtain the Lie group associated with a nilpotent Lie algebra
• Minimal linear representations of the low-dimensional nilpotent Lie algebras

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