| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/wedderga/doc/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 7.6.2025 mit Größe 6 kB |
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<!DOCTYPE Book SYSTEM "gapdoc.dtd" [ <!ENTITY Wedderga " <#Include Label="PKGVERSIONDATA"> ] > <Book Name="Wedderga"> <TitlePage> <Title>&Wedderga;</Title> <Subtitle>Wedderburn Decomposition of Group Algebras</Subtitle> <Version>Version &VERSION;</Version> <Author>Gurmeet Kaur Bakshi <Email>gkbakshi@pu.ac.in</Email> <Address> Center for Advanced Study in Mathematics, <Br/> Panjab University, Chandigarh, PIN-160014, India </Address> </Author> <Author>Osnel Broche Cristo <Email>osnel@ufla.br</Email> <Address> Departamento de Ciências Exatas, Universidade Federal de Lavras - UFLA, Campus Universitário - Caixa Postal 3037, 37200-000, Lavras - MG, Brazil </Address> </Author> <Author>Allen Herman <Email>aherman@math.uregina.ca</Email> <Homepage>http://www.math.uregina.ca/˜aherman/</Homepage> <Address> Department of Mathematics and Statistics, <Br/> University of Regina, <Br/> 3737 Wascana Parkway, <Br/> Regina, SK, S0G 0E0, Canada </Address> </Author> <Author>Olexandr Konovalov <Email>obk1@st-andrews.ac.uk</Email> <Homepage>https://alex-konovalov.github.io/</Homepage> <Address> School of Computer Science, University of St Andrews<Br/> Jack Cole Building, North Haugh,<Br/> St Andrews, Fife, KY16 9SX, Scotland </Address> </Author> <Author>Sugandha Maheshwary <Email>msugandha@ma.iitr.ac.in</Email> <Address> Department of Mathematics<Br/> Indian Institute of Technology Roorkee<Br/> Roorkee, Uttarakhand 247667, India </Address> </Author> <Author>Aurora Olivieri <Email>olivieri@usb.ve</Email> <Address> Departamento de Matemáticas<Br/> Universidad Simón Bolívar<Br/> Apartado Postal 89000, Caracas 1080-A, Venezuela </Address> </Author> <Author>Gabriela Olteanu <Email>gabriela.olteanu@econ.ubbcluj.ro</Email> <Homepage>http://math.ubbcluj.ro/˜olteanu</Homepage> <Address> Department of Statistics-Forecasts-Mathematics<Br/> Faculty of Economics and Business Administration<Br/> Babes-Bolyai University<Br/> Str. T. Mihali 58-60, 400591 Cluj-Napoca, Romania </Address> </Author> <Author>Ángel del Río <Email>adelrio@um.es</Email> <Homepage>http://www.um.es/adelrio</Homepage> <Address> Departamento de Matemáticas, Universidad de Murcia<Br/> 30100 Murcia, Spain </Address> </Author> <Author>Inneke Van Gelder <Email>ivgelder@vub.ac.be</Email> <Homepage>http://homepages.vub.ac.be/~ivgelder</Homepage> <Address> Vrije Universiteit Brussel, Departement Wiskunde <Br/> Pleinlaan 2 <Br/> 1050 Brussels, Belgium </Address> </Author> <Date>&RELEASEDATE;</Date> <Abstract> <Index Key="Wedderga package">&Wedderga; package</Index> ``&Wedderga;'' stands for ``<B>WEDDER</B>burn decomposition of <B>G</B>roup <B>A</B>lgebras". 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 and a complete set of orthogonal primitive idempotents. 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. </Abstract> <Copyright> ©right; 2006-&RELEASEYEAR; by Gurmeet Kaur Bakshi, Osnel Broche Cristo, Allen Herman, Olexandr Konovalov, Sugandha Maheshwary, Aurora Olivieri, Gabriela Olteanu, Ángel del Río and Inneke Van Gelder.<P/> &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 <URL>https://www.gnu.org/licenses/gpl.html</URL>.<P/> 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:<P/> G. K. Bakshi, O. Broche Cristo, A. Herman, O. Konovalov, S. Maheshwary, A. Olivieri, G. Olteanu, Á. del Río and I. Van Gelder. <E>Wedderga --- Wedderburn Decomposition of Group Algebras, Version &VERSION;;</E> &RELEASEYEAR; (<URL>https://gap-packages.github.io/wedd </Copyright> <Acknowledgements> 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 <C>PrimitiveCentralIdempotentsByCharacterTable</C> for rational group algebras.<P/> <P/> We gratefully acknowledge the support of Wedderga development by the following institutions <List> <Item>University of Murcia;</Item> <Item>Francqui Stichting grant ADSI107;</Item> <Item>M.E.C. of Romania (CEEX-ET 47/2006);</Item> <Item>D.G.I. of Spain;</Item> <Item>Fundación Séneca of Murcia;</Item> <Item>CAPES and FAPESP of Brazil;</Item> <Item>Research Foundation Flanders (FWO - Vlaanderen);</Item> <Item>CCP CoDiMa (EP/M022641/1);</Item> <Item>Department of Science and Technology (DST), India.</Item> </List> </Acknowledgements> </TitlePage> <TableOfContents/> <Body> <#Include SYSTEM "intro.xml"> <#Include SYSTEM "decomp.xml"> <#Include SYSTEM "SSP.xml"> <#Include SYSTEM "idempot.xml"> <#Include SYSTEM "crossed.xml"> <#Include SYSTEM "auxiliar.xml"> <#Include SYSTEM "div-alg.xml"> <#Include SYSTEM "applications.xml"> <#Include SYSTEM "theory.xml"> </Body> <Bibliography Databases="manualbib.xml"/> <TheIndex/> </Book> ¤ Dauer der Verarbeitung: 0.13 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28