Version 4.3.3
May 2009
Osnel Broche Cristo
Email: osnel@ufla.br
Address:
Departamento de Ciências Exatas, Universidade Federal de Lavras - UFLA, Campus Universitário - Caixa Postal 3037, 37200-000, Lavras - MG, Brazil
Alexander Konovalov
Email: konovalov@member.ams.org
Homepage: http://www.cs.st-andrews.ac.uk/~alexk/
Address:
School of Computer Science, University of St Andrews
Jack Cole Building, North Haugh,
St Andrews, Fife, KY16 9SX, Scotland
Aurora Olivieri
Email: olivieri@usb.ve
Address:
Departamento de Matemáticas
Universidad Simón Bolívar
Apartado Postal 89000, Caracas 1080-A, Venezuela
Gabriela Olteanu
Email: golteanu@um.es, olteanu@math.ubbcluj.ro
Address:
Department of Mathematics and Computer Science
North University of Baia Mare
Victoriei 76, 430122 Baia Mare, Romania
Ángel del Río
Email: adelrio@um.es
Homepage: http://www.um.es/adelrio
Address:
Departamento de Matemáticas, Universidad de Murcia
30100 Murcia, Spain
The title ``Wedderga'' stands for ``WEDDERburn decomposition of Group Algebras. This is a GAP package to compute the simple components of the Wedderburn decomposition of semisimple group algebras of finite groups over finite fields and over subfields of finite cyclotomic extensions of the rationals. It also contains functions that produce the primitive central idempotents of semisimple group algebras. Other functions of Wedderga allow to construct crossed products over a group with coefficients in an associative ring with identity and the multiplication determined by a given action and twisting.
© 2006-2008 by Osnel Broche Cristo, Alexander Konovalov, Aurora Olivieri, Gabriela Olteanu and Ángel del Río.
Wedderga 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. For details, see the FSF's own site http://www.gnu.org/licenses/gpl.html.
If you obtained Wedderga, we would be grateful for a short notification sent to one of the authors.
If you publish a result which was partially obtained with the usage of Wedderga, please cite it in the following form:
O. Broche Cristo, A. Konovalov, A. Olivieri, G. Olteanu and Á. del Río. Wedderga --- Wedderburn Decomposition of Group Algebras, Version 4.3.3; 2009 (http://www.um.es/adelrio/wedderga.htm).
We all are very grateful to Steve Linton for communicating the package and to the referee for careful testing Wedderga and useful suggestions. Also we acknowledge very much the members of the GAP team: Thomas Breuer, Alexander Hulpke, Frank Lübeck and many other colleagues for helpful comments and advise. We would like also to thank Thomas Breuer for the code of PrimitiveCentralIdempotentsByCharacterTable for rational group algebras.
On various stages the development of the Wedderga package was supported by the following institutions:
University of Murcia;
Francqui Stichting grant ADSI107;
M.E.C. of Romania (CEEX-ET 47/2006);
D.G.I. of Spain;
Fundación Séneca of Murcia;
CAPES and FAPESP of Brazil.
We acknowledge with gratitude this support.
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