Computing Matrix Representations of Filiform Lie Algebras

DOI10.1007/978-3-642-15274-0_6zbMath1202.17002OpenAlexW1493125327MaRDI QIDQ3589064

Angel Francisco Tenorio Villalón, Manuel Ceballos, Juan Núñez Valdés

Publication date: 10 September 2010

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15274-0_6

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)

Uses Software

• Maple

Cites Work

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• On a refinement of Ado's theorem
• 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
• A NOVEL REDUCTION OF THE SIMPLE ASIAN OPTION AND LIE-GROUP INVARIANT SOLUTIONS
• Minimal linear representations of the low-dimensional nilpotent Lie algebras
• A nonlinear PDE in mathematical finance
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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