Abstract

Soit T(m,n) l'ensemble des polynomes supersymetriques dans F [x 1 ,...,x m ,y 1 ,...,y n ]. Pour r≥1 on definit σ m,n (r) =(x 1 r +x 2 r +...+x m r )−(y 1 r +y r +...+y n r ). Soit S(m,n) la sous algebre de T(m,n) generee par 1 et σ m,n (r) (r≥1). On demontre que S(m,n)=T(m,n)

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