Algorithm to compute minimal matrix representation of nilpotent lie algebras
DOI10.1080/00207160.2018.1557639zbMath1485.17004OpenAlexW2903724668MaRDI QIDQ5030581
Juan Núñez Valdés, Manuel Ceballos, Angel Francisco Tenorio Villalón
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1557639
symbolic computationnilpotent Lie algebraminimal representationfaithful matrix representationnon-numerical algorithm
Symbolic computation and algebraic computation (68W30) Nonnumerical algorithms (68W05) Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)
Related Items (3)
Cites Work
- Minimal faithful upper-triangular matrix representations for solvable Lie algebras
- Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
- On a refinement of Ado's theorem
- Constructing faithful representations of finitely-generated torsion-free nilpotent groups
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics
- A method to obtain the Lie group associated with a nilpotent Lie algebra
- Minimal faithful representations of reductive Lie algebras
- Matrix representations for torsion-free nilpotent groups by Deep Thought.
- Minimal linear representations of the low-dimensional nilpotent Lie algebras
- REPRESENTING FILIFORM LIE ALGEBRAS MINIMALLY AND FAITHFULLY BY STRICTLY UPPER-TRIANGULAR MATRICES
- A Note on Automorphisms and Derivations of Lie Algebras
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