no. 3
The ring of multisymmetric functions
[L'anneau des fonctions multisymétriques]
Vaccarino, Francesco1
1Politecnico di Torino, dipartimento di Matematica, Corso Duca degli Abruzzi 24, 10129 Torino (Italy)
Annales de l'Institut Fourier, Tome 55 (2005) no. 3, pp. 717-731

We give a presentation (in terms of generators and relations) of the ring of multisymmetric functions that holds for any commutative ring R, thereby answering a classical question coming from works of F. Junker [J1, J2, J3] in the late nineteen century and then implicitly in H. Weyl book “The classical groups” [W].

Si R est un anneau commutatif, on présente par générateurs et relations, l’algèbre des fonctions multisymétriques à coefficients dans R, de façon à répondre à une question classique liée aux travaux de F. Junker [J1, J2, J3] et implicitement à ceux de H. Weyl [W].

DOI : 10.5802/aif.2111
Classification : 05E05, 13A50, 20C30
Keywords: invariants theory, symmetric functions, representations of symmetric groups
Mots-clés : théorie des invariants, polynômes symétriques, représentations du groupe symétrique

Vaccarino, Francesco  1

1 Politecnico di Torino, dipartimento di Matematica, Corso Duca degli Abruzzi 24, 10129 Torino (Italy) 
Vaccarino, Francesco. The ring of multisymmetric functions. Annales de l'Institut Fourier, Tome 55 (2005) no. 3, pp. 717-731. doi: 10.5802/aif.2111
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