| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/laguna/doc/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 1.6.2024 mit Größe 5 kB |
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<!DOCTYPE Book SYSTEM "gapdoc.dtd" [ <!ENTITY C " <!ENTITY LAG " <!ENTITY LAGUNA " <!ENTITY SISYPHOS " <#Include Label="PKGVERSIONDATA"> ] > <Book Name="LAGUNA"> <TitlePage> <Title>&LAGUNA;</Title> <Subtitle>Lie AlGebras and UNits of group Algebras</Subtitle> <Version>Version &VERSION;</Version> <Author>Victor Bovdi <Email>vbovdi@science.unideb.hu</Email> <Address> Institute of Mathematics and Informatics<Br/> University of Debrecen<Br/> P.O.Box 12, Debrecen, H-4010 Hungary </Address> </Author> <Author>Olexandr Konovalov <Email>obk1@st-andrews.ac.uk</Email> <Homepage>https://alex-konovalov.github.io/</Homepage> <Address> School of Computer Science<Br/> University of St Andrews<Br/> Jack Cole Building, North Haugh,<Br/> St Andrews, Fife, KY16 9SX, Scotland </Address> </Author> <Author>Richard Rossmanith</Author> <Author> Csaba Schneider <Email>csaba.schneider@sztaki.hu</Email> <Homepage>http://www.sztaki.hu/˜schneider</Homepage> <Address> Informatics Laboratory<Br/> Computer and Automation Research Institute<Br/> The Hungarian Academy of Sciences<Br/> 1111 Budapest, Lagymanyosi u. 11, Hungary </Address> </Author> <Date>&RELEASEDATE;</Date> <Abstract> <Index Key="LAGUNA package">&LAGUNA; package</Index> The title ``&LAGUNA;'' stands for ``<B>L</B>ie <B>A</B>l<B>G</B>ebras and <B>UN</B>its of group <B>A</B>lgebras''. This is the new name of the &GAP;4 package &LAG;, which is thus replaced by &LAGUNA;. <P/> &LAGUNA; extends the &GAP; functionality for computations in group rings. Besides computing some general properties and attributes of group rings and their elements, &LAGUNA; is able to perform two main kinds of computations. Namely, it can verify whether a group algebra of a finite group satisfies certain Lie properties; and it can calculate the structure of the normalized unit group of a group algebra of a finite <M>p</M>-group over the field of <M>p</M> elements. <P/> </Abstract> <Copyright> ©right; 2003-&RELEASEYEAR; by Victor Bovdi, Olexandr Konovalov, Richard Rossmanith, and Csaba Schneider<P/> &LAGUNA; 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 &LAGUNA;, we would be grateful for a short notification sent to one of the authors.<P/> If you publish a result which was partially obtained with the usage of &LAGUNA;, please cite it in the following form:<P/> V. Bovdi, O. Konovalov, R. Rossmanith and C. Schneider. <E>LAGUNA --- Lie AlGebras and UNits of group Algebras, Version &VERSION;;</E> &RELEASEDATE; (<URL>https://gap-packages.github.io/laguna/</URL>). </Copyright> <Acknowledgements> Some of the features of &LAGUNA; were already included in the &GAP;4 package &LAG; written by the third author, Richard Rossmanith. <!--which was ported to &GAP;4 during his visit to St Andrews in September 1998. Since in the new version the functionality of the package is no longer restricted to Lie algebras, the package changed its name to &LAGUNA; which means "Lie AlGebras and UNits of group Algebras".--> The three other authors first would like to thank Greg Gamble for maintaining &LAG; and for upgrading it from version 2.0 to version 2.1, and Richard Rossmanith for allowing them to update and extend the &LAG; package. We are also grateful to Wolfgang Kimmerle for organizing the workshop ``Computational Group and Group Ring Theory'' (University of Stuttgart, 28--29 November, 2002), which allowed us to meet and have fruitful discussions that led towards the final &LAGUNA; release. <P/> We are all very grateful to the members of the &GAP; team: Thomas Breuer, Willem de Graaf, Alexander Hulpke, Stefan Kohl, Steve Linton, Frank Lübeck, Max Neunhöffer and many other colleagues for helpful comments and advise. We acknowledge very much Herbert Pahlings for communicating the package and the referee for careful testing &LAGUNA; and useful suggestions. <P/> A part of the work on upgrading &LAG; to &LAGUNA; was done in 2002 during Olexandr Konovalov's visits to Debrecen, St Andrews and Stuttgart Universities. He would like to express his gratitude to Adalbert Bovdi and Victor Bovdi, Colin Campbell, Edmund Robertson and Steve Linton, Wolfgang Kimmerle, Martin Hertweck and Stefan Kohl for their warm hospitality, and to the NATO Science Fellowship Program, to the London Mathematical Society and to the DAAD for the support of these visits. <P/> </Acknowledgements> </TitlePage> <TableOfContents/> <Body> <#Include SYSTEM "intro.xml"> <#Include SYSTEM "example.xml"> <#Include SYSTEM "theory.xml"> <#Include SYSTEM "funct.xml"> </Body> <Bibliography Databases="manual"/> <TheIndex/> </Book> ¤ Dauer der Verarbeitung: 0.15 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28