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<p>
Next: <a href="maxima_122.html#Functions-and-Variables-for-Symmetries" accesskey="n" rel="next">Functions and Variables for Symmetries</a>, Previous: <a href="maxima_120.html#Symmetries" accesskey="p" rel="previous">Symmetries</a>, Up: <a href="maxima_120.html#Symmetries" accesskey="u" rel="up">Symmetries</a> &nbsp; [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_264.html#g_t_0423_043a_0430_0437_0430_0442_0435_043b_044c-_0444_0443_043d_043a_0446_0438_0439-_0438-_043f_0435_0440_0435_043c_0435_043d_043d_044b_0445" title="Index" rel="index">Index</a>]</p>
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<a name="Introduction-to-Symmetries-1"></a>
<h3 class="section">30.1 Introduction to Symmetries</h3>

<p><code>sym</code> is a package for working with symmetric groups of polynomials.
</p>
<p>It was written for Macsyma-Symbolics by Annick Valibouze (<a href="http://www-calfor.lip6.fr/~avb/">http://www-calfor.lip6.fr/~avb/</a>).
The algorithms are described in the following papers:
</p>
<ol>
<li> Fonctions sym&eacute;triques et changements de bases. Annick Valibouze.
EUROCAL&rsquo;87 (Leipzig, 1987), 323&ndash;332, Lecture Notes in Comput. Sci 378.
Springer, Berlin, 1989.<br>
<a href="http://www.stix.polytechnique.fr/publications/1984-1994.html">http://www.stix.polytechnique.fr/publications/1984-1994.html</a>

</li><li> R&eacute;solvantes et fonctions sym&eacute;triques. Annick Valibouze.
Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic
and Algebraic Computation, ISSAC&rsquo;89 (Portland, Oregon).
ACM Press, 390-399, 1989.<br>
<a href="http://www-calfor.lip6.fr/~avb/DonneesTelechargeables/MesArticles/issac89ACMValibouze.pdf">http://www-calfor.lip6.fr/~avb/DonneesTelechargeables/MesArticles/issac89ACMValibouze.pdf</a>

</li><li> Symbolic computation with symmetric polynomials, an extension to Macsyma.
Annick Valibouze. Computers and Mathematics (MIT, USA, June 13-17, 1989),
Springer-Verlag, New York Berlin, 308-320, 1989.<br>
<a href="http://www.stix.polytechnique.fr/publications/1984-1994.html">http://www.stix.polytechnique.fr/publications/1984-1994.html</a>

</li><li> Th&eacute;orie de Galois Constructive. Annick Valibouze. M&eacute;moire d&rsquo;habilitation
&agrave; diriger les recherches (HDR), Universit&eacute; P. et M. Curie (Paris VI), 1994.
</li></ol>










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Next: <a href="maxima_122.html#Functions-and-Variables-for-Symmetries" accesskey="n" rel="next">Functions and Variables for Symmetries</a>, Previous: <a href="maxima_120.html#Symmetries" accesskey="p" rel="previous">Symmetries</a>, Up: <a href="maxima_120.html#Symmetries" accesskey="u" rel="up">Symmetries</a> &nbsp; [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_264.html#g_t_0423_043a_0430_0437_0430_0442_0435_043b_044c-_0444_0443_043d_043a_0446_0438_0439-_0438-_043f_0435_0440_0435_043c_0435_043d_043d_044b_0445" title="Index" rel="index">Index</a>]</p>
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