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# Sophus

## Computing in nilpotent Lie algebras

1.24

9 April 2018

Csaba Schneider
Email: csaba@mat.ufmg.br
Homepage: http://www.mat.ufmg.br/~csaba/
Departamento de Matemática
Instituto de Ciências Exatas
Universidade Federal de Minas Gerais (UFMG)
Belo Horizonte, Brasil

The GAP Team
Email: support@gap-system.org

### Abstract

Sophus is a GAP4 package to compute with nilpotent Lie algebras over finite prime fields. In particular, the package can be used to compute certain central extensions and the automorphism group of such Lie algebras. Sophus also enables its user to test isomorphism between two nilpotent Lie algebras. The author of the package used it to construct all Lie algebras of dimension at most 9 over $$\mathbb F_2$$.