## &Sophus;

Computing in nilpotent Lie algebras
Version 1.23
Csaba Schneider csaba.schneider@sztaki.hu http://www.sztaki.hu/~schneider

        	    Informatics Laboratory

        	    Computer and Automation Research Institute

    	    The Hungarian Academy of Sciences

        	    1111 Budapest, L\'agym\'anyosi u.\ 11.

        	    Hungary

February 2006

&Sophus; is a GAP~4 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

&copyright; 2004, 2005 Csaba Schneider
Most of the work on this package was carried out while I held a research position at the Technische Universtit\"at Braunschweig. I would like to express my gratitude to the staff and the students of the Institut f\"ur Geometrie for their interest in this work. Special thanks go to Bettina Eick for her r\^ole in completing this project.
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