  
  
                                    [1X[5XLieAlgDB[0m[1X[0m
  
  
                           [1XA database of Lie algebras[0m
  
  
                                  Version 2.1
  
  
                                 November 2010
  
  
                                 Serena Cicalò
  
                                Willem de Graaf
  
                                Csaba Schneider
  
  
  
  Serena Cicalò
      Email:    [7Xmailto:cicalo@science.unitn.it[0m
      Address:  Dipartimento di Matematica e Informatica
                Via Ospedale, 72
                09124 Cagliari
                Italy
  
  
  Willem de Graaf
      Email:    [7Xmailto:degraaf@science.unitn.it[0m
      Homepage: [7Xhttp://www.science.unitn.it/~degraaf/[0m
      Address:  Dipartimento di Matematica
                Via Sommarive, 14
                38050 Povo (Trento)
                Italy
  
  
  Csaba Schneider
      Email:    [7Xmailto:csaba.schneider@sztaki.hu[0m
      Homepage: [7Xhttp://www.sztaki.hu/~schneider[0m
      Address:  Informatics Research Laboratory
                Computer and Automation Research Institute
                1518 Budapest Pf. 63.
                Hungary
  
  
  
  -------------------------------------------------------
  [1XAbstract[0m
  This package provides access to the classification of the following families
  of Lie algebras:
  
  --    non-solvable Lie algebras over finite fields up to dimension 6;
  
  --    nilpotent  Lie  algebras of dimension up to 9 over [3XGF(2)[0m, of dimension
        up to 7 over [3XGF(3)[0m or [3XGF(5)[0m;
  
  --    simple Lie algebras of dimensions between 7 and 9 over [3XGF(2)[0m;
  
  --    the classification of solvable Lie algebras of dimension at most 4;
  
  --    the classification of nilpotent Lie algebras of dimensions at most 6.
  
  
  -------------------------------------------------------
  [1XCopyright[0m
  © 2006--2007 Willem de Graaf and Csaba Schneider
  
  
  -------------------------------------------------------
  [1XAcknowledgements[0m
  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 made. We also acknowledge
  the   effort   of  the  referees  to  improve  the  implementation  and  the
  documentation.
  
  Serena  Cicalò  would like to thank the Centro de Álgebra da Universidade de
  Lisboa  for  their  kind  hospitality  during July - December 2009 and May -
  September  2010,  when the classification of the 6-dimensional nilpotent Lie
  algebras over fields of characteristic 2 was made and added to the package.
  
  
  -------------------------------------------------------
  
  
  [1XContents (LieAlgDB)[0X
  
  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 AllNonSolvableLieAlgebras
      2.1-8 AllSimpleLieAlgebras
    2.2 Solvable and nilpotent Lie algebras
      2.2-1 SolvableLieAlgebra
      2.2-2 NilpotentLieAlgebra
      2.2-3 AllSolvableLieAlgebras
      2.2-4 AllNilpotentLieAlgebras
      2.2-5 NrNilpotentLieAlgebras
      2.2-6 LieAlgebraIdentification
  3 A description of the Lie algebras that are contained in the package
    3.1 Description of the non-solvable Lie algebras
    3.2 Dimension 3
    3.3 Dimension 4
    3.4 Dimension 5
      3.4-1 Characteristic 2
      3.4-2 Odd characteristic
    3.5 Dimension 6
      3.5-1 Characteristic 2
      3.5-2 General odd characteristic
      3.5-3 Characteristic 3
      3.5-4 Characteristic 5
    3.6 Description of the simple Lie algebras
    3.7 Description of the solvable and nilpotent Lie algebras
  
  
  -------------------------------------------------------
