30.1 Introduction to Symmetries
sym
is a package for working with symmetric groups of polynomials.
It was written for Macsyma-Symbolics by Annick Valibouze (http://www-calfor.lip6.fr/~avb/).
The algorithms are described in the following papers:
- Fonctions symétriques et changements de bases. Annick Valibouze.
EUROCAL’87 (Leipzig, 1987), 323–332, Lecture Notes in Comput. Sci 378.
Springer, Berlin, 1989.
http://www.stix.polytechnique.fr/publications/1984-1994.html
- Résolvantes et fonctions symétriques. Annick Valibouze.
Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic
and Algebraic Computation, ISSAC’89 (Portland, Oregon).
ACM Press, 390-399, 1989.
http://www-calfor.lip6.fr/~avb/DonneesTelechargeables/MesArticles/issac89ACMValibouze.pdf
- 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.
http://www.stix.polytechnique.fr/publications/1984-1994.html
- Théorie de Galois Constructive. Annick Valibouze. Mémoire d’habilitation
à diriger les recherches (HDR), Université P. et M. Curie (Paris VI), 1994.