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products/sources/formale Sprachen/GAP/pkg/liealgdb/doc/ (Algebra von RWTH Aachen Version 4.15.1^©) Datei vom 24.8.2025 mit Größe 2 kB

Quelle title.xml Sprache: XML

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


<TitlePage>
 <Title>
 LieAlgDB
 </Title>
 <Subtitle>
 A database of Lie algebras
 </Subtitle>
 <Version>
 2.3.0
 </Version>
 <Author>
 Serena Cicalò<Alt Only="LaTeX"> </Alt>
<Address>
Dipartimento di Matematica e Informatica 
Via Ospedale 72 
Italy 
</Address>
<Email>cicalo@science.unitn.it</Email>

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

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

 </Author>
 <Date>
 24 September 2025
 </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>
©right; 2006--2007 Willem de Graaf and Csaba Schneider
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.
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.
 </Acknowledgements>
 </TitlePage>

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