• Corpus ID: 118146755

Algorithm for structure constants

@article{Paiva2011AlgorithmFS,
  title={Algorithm for structure constants},
  author={Filipe M. Paiva and A. F. F. Teixeira},
  journal={arXiv: Computational Physics},
  year={2011}
}
In a $n$-dimensional Lie algebra, random numerical values are assigned by computer to $n(n-1)$ especially selected structure constants. An algorithm is then created, which calculates without ambiguity the remaining constants, obeying the Jacobi conditions. Differently from others, this algorithm is suitable even for poor personal computer. ------------- En $n$-dimensia algebro de Lie, hazardaj numeraj valoroj estas asignitaj per komputilo al $n(n-1)$ speciale elektitaj konstantoj de strukturo… 
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A note on random samples of Lie algebras

Recently, Paiva and Teixeira (arXiv:1108.4396) showed that the structure constants of a Lie algebra are the solution of a system of linear equations provided a certain subset of the structure

References

Group theory in physics

OF VOLUME 2: The Role of Lie Algebras. Relationships between Lie Groups and Lie Algebras. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Semi-Simple Real Lie