A database of Lie algebras
Version 2.3.0
Released 2025-09-24
This project is maintained by The GAP Team
The LieAlgDB Package
--------------------
The package LieAlgDB provides access to several classifications of Lie
algebras. In the mathematics literature many classifications of Lie
algebras of various types have been published (we refer to the
bibliography of the manual for a few examples). However, working with
these classifications from paper is not always easy. This package
aims at making a few classifications of small dimensional Lie algebras
that have appeared in recent years more accessible. For each
classification that is contained in the package, functions are
provided that construct Lie algebras from that classification inside
GAP. This allows the user to obtain easy access to the often rather
complicated data contained in a classification, and to directly
interface the Lie algebras to the functionality for Lie algebras which
is already contained in GAP.
Authors
-------
The package was written by:
Serena Cicalò
Dipartimento di Matematica e Informatica
Via Ospedale, 72
09124 Cagliari
Email: cicalo@science.unitn.it
and
Willem de Graaf
Dipartimento di Matematica
Via Sommarive, 14
38050 Povo (Trento)
Italy
Email: degraaf@science.unitn.it
WWW: http://www.science.unitn.it/~degraaf/
and
Csaba Schneider
Informatics Research Laboratory
Computer and Automation Research Institute
1518 Budapest
Pf. 63
Hungary
Email: csaba.schneider@sztaki.hu
WWW: www.sztaki.hu/~schneider
Installing the package
----------------------
To install the package, move the archive file into the `pkg' directory
in which you plan to install the package. Usually, this will be the
directory `pkg' in the hierarchy of your version of GAP 4. (However,
it is also possible to keep an additional `pkg' directory in your
private directories, see section "ref:Installing GAP Packages" of the
GAP 4 reference manual for details on how to do this.) Then unpack
the archive file and that's it!
Bug reports
-----------
If you encounter problems, please report them via our issue tracker:
When sending a bug report, please to to include enough information so
that we can reproduce the problem.