<?xml version="1.0" encoding="UTF-8"?>

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<TitlePage>
  <Title>
    LieAlgDB
  </Title>
  <Subtitle>
    A database of Lie algebras
  </Subtitle>
  <Version>
    2.2.1
  </Version>
  <Author>
    Serena Cicalò<Alt Only="LaTeX"><Br/></Alt>
<Address>
Dipartimento di Matematica e Informatica<Br/>
Via Ospedale 72<Br/>
Italy<Br/>
</Address>
<Email>cicalo@science.unitn.it</Email>

  </Author>
  <Author>
    Willem Adriaan de Graaf<Alt Only="LaTeX"><Br/></Alt>
<Address>
Dipartimento di Matematica<Br/>
Via Sommarive 14<Br/>
Italy<Br/>
</Address>
<Email>degraaf@science.unitn.it</Email>
<Homepage>http://www.science.unitn.it/~degraaf</Homepage>

  </Author>
  <Author>
    Csaba Schneider<Alt Only="LaTeX"><Br/></Alt>
<Address>
Departamento de Matemática<Br/>
Instituto de Ciências Exatas<Br/>
Universidade Federal de Minas Gerais (UFMG)<Br/>
Belo Horizonte, Brasil<Br/>
</Address>
<Email>csaba@mat.ufmg.br</Email>
<Homepage>http://www.mat.ufmg.br/~csaba/</Homepage>

  </Author>
  <Date>
    7 October 2019
  </Date>
  <Abstract>
    
This package provides access to the classification of the following
families of Lie algebras:
<List>
<Item> non-solvable Lie algebras over finite fields up to dimension 6;
</Item>
<Item> nilpotent Lie algebras of dimension up to 9 over <A>GF(2)</A>, of dimension
up to 7 over <A>GF(3)</A> or <A>GF(5)</A>;</Item>
<Item> simple Lie algebras of dimensions between 7 and 9 over <A>GF(2)</A>;
</Item>
<Item> the classification of solvable Lie algebras of dimension at most 4;
</Item>
<Item> the classification of nilpotent Lie algebras of dimensions at most 6.
</Item>
</List>

  </Abstract>
  <Copyright>
    
<Index>License</Index>
&copyright; 2006--2007 Willem de Graaf and Csaba Schneider<P/>
The &LieAlgDB; package is free software;
you can redistribute it and/or modify it under the terms of the
<URL Text="GNU General Public License">http://www.fsf.org/licenses/gpl.html</URL>
as published by the Free Software Foundation; either version 2 of the License,
or (at your option) any later version.

  </Copyright>
  <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
made. We also acknowledge the effort of the referees to improve the
implementation and the documentation.<P/>
Serena Cical&#242; would like to thank the Centro de &#193;lgebra 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.

  </Acknowledgements>
  </TitlePage>