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LieAlgDB

A database of Lie algebras

2.2.1

7 October 2019

Serena Cicalò
Email: cicalo@science.unitn.it
Address:
Dipartimento di Matematica e Informatica
Via Ospedale 72
Italy

Willem Adriaan de Graaf
Email: degraaf@science.unitn.it
Homepage: http://www.science.unitn.it/~degraaf
Address:
Dipartimento di Matematica
Via Sommarive 14
Italy

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

Abstract

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

Copyright

© 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 GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

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.

Contents

1 Introduction
2 The families of Lie algebras included in the database
3 A description of the Lie algebras that are contained in the package
References

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