×

A computer-based approach to the classification of nilpotent Lie algebras. (English) Zbl 1093.17004

Adapting E. A. O’Brien’s \(p\)-group generation algorithm [J. Symb. Comput. 9, 677–698 (1990; Zbl 0736.20001)] to nilpotent Lie algebras, the author finds the number of isomorphism types of six- and seven-dimensional nilpotent Lie algebras over fields with 2, 3 and 5 elements. He also finds the number of isomorphism types of nilpotent Lie algebras of dimension eight and nine over the field with 2 elements.

MSC:

17B05 Structure theory for Lie algebras and superalgebras
17B30 Solvable, nilpotent (super)algebras

Citations:

Zbl 0736.20001

Software:

GAP; Sophus
PDFBibTeX XMLCite
Full Text: DOI arXiv EuDML