An algorithm to obtain laws of families of filiform Lie algebras

DOI10.1016/S0024-3795(97)10077-5zbMath0966.17007OpenAlexW2040210031WikidataQ115036103 ScholiaQ115036103MaRDI QIDQ1307548

J. R. Gómez, Juan Núñez Valdés, A. Jiménez-Merchán

Publication date: 6 December 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)10077-5

zbMATH Keywords

algorithmsGröbner basesMathematicanilpotent Lie algebrasfiliform Lie algebrasdimensions 11 and 12

Mathematics Subject Classification ID

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

Related Items

Complex filiform Lie algebras of dimension 11., A new method for classifying complex filiform Lie algebras

Uses Software

• Mathematica

Cites Work

• Classification of filiform Lie algebras in dimension 8
• Classification des algèbres de Lie nilpotentes complexes de dimension 7. (Classification of nilpotent complex Lie algebras of dimension 7)
• On the irreducible components of the variety of laws of nilpotent Lie algebras
• Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
• Classification of real and complex nilpotent lie algebras of dimension 7
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
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