LieAlgDB

A database of Lie algebras

Version 1.0

October 2006

Willem de Graaf
e-mail: degraaf@science.unitn.it
WWW: http://www.science.unitn.it/~degraaf/
Address:
Dipartimento di Matematica
Via Sommarive 14
I-38050 Povo (Trento)
Italy

Csaba Schneider
e-mail: csaba.schneider@sztaki.hu
WWW: http://www.sztaki.hu/~schneider
Address:
Informatics Research Laboratory
Computer and Automation Research Institute
1518 Budapest Pf. 63.
Hungary

Abstract

This package provides access to the the classification of the following families of Lie algebras:

Copyright

(C) 2006 Willem de Graaf and Csaba Schneider

Acknowledgements

We are grateful to Andrea Caranti, Marco Costantini, Bettina Eick, Helmut Strade, Michael Vaughan-Lee. Without their help, interest, and encouragement, this package would not have been completed.

Contents

1. Introduction
2. The families of Lie algebras included in the database
   2.1 Non-solvable Lie algebras
      2.1-1 NonSolvableLieAlgebra
      2.1-2 Dimension 1 and 2
      2.1-3 Dimension 3
      2.1-4 Dimension 4
      2.1-5 Dimension 5
      2.1-6 Dimension 6
      2.1-7 NonSolvableLieAlgebras
      2.1-8 SimpleLieAlgebras
   2.2 Solvable and nilpotent Lie algebras
      2.2-1 SolvableLieAlgebra
      2.2-2 NilpotentLieAlgebra
      2.2-3 SolvableLieAlgebras
      2.2-4 NilpotentLieAlgebras
      2.2-5 NumberOfNilpotentLieAlgebras
      2.2-6 LieAlgebraIdentification
A. Description of the solvable and nilpotent Lie algebras
B. Description of the non-solvable Lie algebras
   B.1 Dimension 3
   B.2 Dimension 4
   B.3 Dimension 5
      B.3-1 Characteristic 2
      B.3-2 Odd characteristic
   B.4 Dimension 6
      B.4-1 Characteristic 2
      B.4-2 General odd characteristic
      B.4-3 Characteristic 3
      B.4-4 Characteristic 5




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