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The ring of multisymmetric functions

环与代数 2007-05-23 v2 组合数学 表示论

摘要

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.

关键词

引用

@article{arxiv.math/0205233,
  title  = {The ring of multisymmetric functions},
  author = {Francesco Vaccarino},
  journal= {arXiv preprint arXiv:math/0205233},
  year   = {2007}
}

备注

12 pages, amsppt tex