The ring of multisymmetric functions

Mathematics – Rings and Algebras

Scientific paper

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12 pages, amsppt tex

Scientific paper

Let R be a commutative ring and let n,m be two positive integers. Let be the
polynomial ring in m x n commuting independent variables R. The symmetric group
on n letters acts diagonally on A(n,m). We give generators and relations of the
rings of invariants for this action.

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