A computer-based approach to the classification of nilpotent Lie algebras

Schneider, Csaba

Experiment. Math., Tome 14 (2005) no. 1, p. 153-160 / Harvested from Project Euclid

Résumé

We adapt the $p$-group generation algorithm to classify small-dimensional nilpotent Lie algebras over small fields. Using an implementation of this algorithm, we list the nilpotent Lie algebras of dimension up to 9 over $\F_2$ and those of dimension up to 7 over $\F_3$ and $\F_5$.

Publié le : 2005-05-14
Classification: Nilpotent Lie algebras, classifications, immediate descendants, covers, Lie algebra generation algorithm, 17B05, 17B30, 17-08

@article{1128100128,
     author = {Schneider, Csaba},
     title = {A computer-based approach to the classification of nilpotent Lie algebras},
     journal = {Experiment. Math.},
     volume = {14},
     number = {1},
     year = {2005},
     pages = { 153-160},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128100128}
}

Schneider, Csaba. A computer-based approach to the classification of nilpotent Lie algebras. Experiment. Math., Tome 14 (2005) no. 1, pp.  153-160. http://gdmltest.u-ga.fr/item/1128100128/